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Finding the Fourth Proportional to 5,737.66, 7,914.96 and 4,737.10

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Solution

The fourth proportional to 5,737.66, 7,914.96 and 4,737.10 is: 6,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.66 : 7,914.96 = 4,737.10 : x
  2. Step 2: Convert to fraction form
    5,737.66/7,914.96 = 4,737.10/x
  3. Step 3: Cross multiply
    5,737.66x = 7,914.96 × 4,737.10
  4. Step 4: Simplify right side
    5,737.66x = 37,493,957.02
  5. Step 5: Solve for x
    x = 37,493,957.02/5,737.66
  6. Step 6: Final answer
    x = 6,534.71

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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.