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Finding the Fourth Proportional to 7,681.68, 11,466.42 and 6,593.04

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Solution

The fourth proportional to 7,681.68, 11,466.42 and 6,593.04 is: 9,841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.68 : 11,466.42 = 6,593.04 : x
  2. Step 2: Convert to fraction form
    7,681.68/11,466.42 = 6,593.04/x
  3. Step 3: Cross multiply
    7,681.68x = 11,466.42 × 6,593.04
  4. Step 4: Simplify right side
    7,681.68x = 75,598,565.72
  5. Step 5: Solve for x
    x = 75,598,565.72/7,681.68
  6. Step 6: Final answer
    x = 9,841.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.