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Finding the Fourth Proportional to 25,125, 37,688.22 and 6,657

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Solution

The fourth proportional to 25,125, 37,688.22 and 6,657 is: 9,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,125 : 37,688.22 = 6,657 : x
  2. Step 2: Convert to fraction form
    25,125/37,688.22 = 6,657/x
  3. Step 3: Cross multiply
    25,125x = 37,688.22 × 6,657
  4. Step 4: Simplify right side
    25,125x = 250,890,480.54
  5. Step 5: Solve for x
    x = 250,890,480.54/25,125
  6. Step 6: Final answer
    x = 9,985.69

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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.