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Finding the Fourth Proportional to 25,157.67, 37,737.78 and 6,437.86

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Solution

The fourth proportional to 25,157.67, 37,737.78 and 6,437.86 is: 9,657.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,157.67 : 37,737.78 = 6,437.86 : x
  2. Step 2: Convert to fraction form
    25,157.67/37,737.78 = 6,437.86/x
  3. Step 3: Cross multiply
    25,157.67x = 37,737.78 × 6,437.86
  4. Step 4: Simplify right side
    25,157.67x = 242,950,674.35
  5. Step 5: Solve for x
    x = 242,950,674.35/25,157.67
  6. Step 6: Final answer
    x = 9,657.12

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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.