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Finding the Fourth Proportional to 5,614.60, 8,411.64 and 4,737.48

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Solution

The fourth proportional to 5,614.60, 8,411.64 and 4,737.48 is: 7,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.60 : 8,411.64 = 4,737.48 : x
  2. Step 2: Convert to fraction form
    5,614.60/8,411.64 = 4,737.48/x
  3. Step 3: Cross multiply
    5,614.60x = 8,411.64 × 4,737.48
  4. Step 4: Simplify right side
    5,614.60x = 39,849,976.27
  5. Step 5: Solve for x
    x = 39,849,976.27/5,614.60
  6. Step 6: Final answer
    x = 7,097.56

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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.