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Finding the Fourth Proportional to 25,132, 37,700.58 and 6,664

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Solution

The fourth proportional to 25,132, 37,700.58 and 6,664 is: 9,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,132 : 37,700.58 = 6,664 : x
  2. Step 2: Convert to fraction form
    25,132/37,700.58 = 6,664/x
  3. Step 3: Cross multiply
    25,132x = 37,700.58 × 6,664
  4. Step 4: Simplify right side
    25,132x = 251,236,665.12
  5. Step 5: Solve for x
    x = 251,236,665.12/25,132
  6. Step 6: Final answer
    x = 9,996.68

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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.