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Finding the Fourth Proportional to 6,384.60, 9,552.84 and 5,737.14

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Solution

The fourth proportional to 6,384.60, 9,552.84 and 5,737.14 is: 8,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.60 : 9,552.84 = 5,737.14 : x
  2. Step 2: Convert to fraction form
    6,384.60/9,552.84 = 5,737.14/x
  3. Step 3: Cross multiply
    6,384.60x = 9,552.84 × 5,737.14
  4. Step 4: Simplify right side
    6,384.60x = 54,805,980.48
  5. Step 5: Solve for x
    x = 54,805,980.48/6,384.60
  6. Step 6: Final answer
    x = 8,584.09

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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.