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Finding the Fourth Proportional to 25,157.46, 37,737.48 and 6,437.66

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Solution

The fourth proportional to 25,157.46, 37,737.48 and 6,437.66 is: 9,656.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,157.46 : 37,737.48 = 6,437.66 : x
  2. Step 2: Convert to fraction form
    25,157.46/37,737.48 = 6,437.66/x
  3. Step 3: Cross multiply
    25,157.46x = 37,737.48 × 6,437.66
  4. Step 4: Simplify right side
    25,157.46x = 242,941,065.50
  5. Step 5: Solve for x
    x = 242,941,065.50/25,157.46
  6. Step 6: Final answer
    x = 9,656.82

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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.