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Finding the Fourth Proportional to 7,684.38, 10,599.30 and 6,208.20

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Solution

The fourth proportional to 7,684.38, 10,599.30 and 6,208.20 is: 8,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.38 : 10,599.30 = 6,208.20 : x
  2. Step 2: Convert to fraction form
    7,684.38/10,599.30 = 6,208.20/x
  3. Step 3: Cross multiply
    7,684.38x = 10,599.30 × 6,208.20
  4. Step 4: Simplify right side
    7,684.38x = 65,802,574.26
  5. Step 5: Solve for x
    x = 65,802,574.26/7,684.38
  6. Step 6: Final answer
    x = 8,563.16

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Half scale
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Double scale
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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.