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Finding the Fourth Proportional to 9,751.41, 13,455.78 and 5,502.23

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Solution

The fourth proportional to 9,751.41, 13,455.78 and 5,502.23 is: 7,592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.41 : 13,455.78 = 5,502.23 : x
  2. Step 2: Convert to fraction form
    9,751.41/13,455.78 = 5,502.23/x
  3. Step 3: Cross multiply
    9,751.41x = 13,455.78 × 5,502.23
  4. Step 4: Simplify right side
    9,751.41x = 74,036,729.11
  5. Step 5: Solve for x
    x = 74,036,729.11/9,751.41
  6. Step 6: Final answer
    x = 7,592.41

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Half scale
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Double scale
Find fourth proportional to 9,752.41, 13,457.16 and 5,503.23
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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.