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Finding the Fourth Proportional to 7,053.65, 9,737.13 and 4,937.49

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Solution

The fourth proportional to 7,053.65, 9,737.13 and 4,937.49 is: 6,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.65 : 9,737.13 = 4,937.49 : x
  2. Step 2: Convert to fraction form
    7,053.65/9,737.13 = 4,937.49/x
  3. Step 3: Cross multiply
    7,053.65x = 9,737.13 × 4,937.49
  4. Step 4: Simplify right side
    7,053.65x = 48,076,933.32
  5. Step 5: Solve for x
    x = 48,076,933.32/7,053.65
  6. Step 6: Final answer
    x = 6,815.90

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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.