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Finding the Fourth Proportional to 6,384.07, 8,807.14 and 3,730.29

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Solution

The fourth proportional to 6,384.07, 8,807.14 and 3,730.29 is: 5,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.07 : 8,807.14 = 3,730.29 : x
  2. Step 2: Convert to fraction form
    6,384.07/8,807.14 = 3,730.29/x
  3. Step 3: Cross multiply
    6,384.07x = 8,807.14 × 3,730.29
  4. Step 4: Simplify right side
    6,384.07x = 32,853,186.27
  5. Step 5: Solve for x
    x = 32,853,186.27/6,384.07
  6. Step 6: Final answer
    x = 5,146.12

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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.