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Finding the Fourth Proportional to 25,105, 37,660.02 and 6,637

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Solution

The fourth proportional to 25,105, 37,660.02 and 6,637 is: 9,956.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,105 : 37,660.02 = 6,637 : x
  2. Step 2: Convert to fraction form
    25,105/37,660.02 = 6,637/x
  3. Step 3: Cross multiply
    25,105x = 37,660.02 × 6,637
  4. Step 4: Simplify right side
    25,105x = 249,949,552.74
  5. Step 5: Solve for x
    x = 249,949,552.74/25,105
  6. Step 6: Final answer
    x = 9,956.17

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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.