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Finding the Fourth Proportional to 9,684.90, 13,372.38 and 7,443.23

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Solution

The fourth proportional to 9,684.90, 13,372.38 and 7,443.23 is: 10,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.90 : 13,372.38 = 7,443.23 : x
  2. Step 2: Convert to fraction form
    9,684.90/13,372.38 = 7,443.23/x
  3. Step 3: Cross multiply
    9,684.90x = 13,372.38 × 7,443.23
  4. Step 4: Simplify right side
    9,684.90x = 99,533,633.13
  5. Step 5: Solve for x
    x = 99,533,633.13/9,684.90
  6. Step 6: Final answer
    x = 10,277.20

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Half scale
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Double scale
Find fourth proportional to 9,685.90, 13,373.76 and 7,444.23
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.