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Finding the Fourth Proportional to 6,242.71, 8,614.68 and 3,410.02

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Solution

The fourth proportional to 6,242.71, 8,614.68 and 3,410.02 is: 4,705.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.71 : 8,614.68 = 3,410.02 : x
  2. Step 2: Convert to fraction form
    6,242.71/8,614.68 = 3,410.02/x
  3. Step 3: Cross multiply
    6,242.71x = 8,614.68 × 3,410.02
  4. Step 4: Simplify right side
    6,242.71x = 29,376,231.09
  5. Step 5: Solve for x
    x = 29,376,231.09/6,242.71
  6. Step 6: Final answer
    x = 4,705.69

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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.