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Finding the Fourth Proportional to 6,593.41, 9,877.02 and 3,468.70

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Solution

The fourth proportional to 6,593.41, 9,877.02 and 3,468.70 is: 5,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.41 : 9,877.02 = 3,468.70 : x
  2. Step 2: Convert to fraction form
    6,593.41/9,877.02 = 3,468.70/x
  3. Step 3: Cross multiply
    6,593.41x = 9,877.02 × 3,468.70
  4. Step 4: Simplify right side
    6,593.41x = 34,260,419.27
  5. Step 5: Solve for x
    x = 34,260,419.27/6,593.41
  6. Step 6: Final answer
    x = 5,196.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.