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Finding the Fourth Proportional to 25,124, 37,686.72 and 6,656

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Solution

The fourth proportional to 25,124, 37,686.72 and 6,656 is: 9,984.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,124 : 37,686.72 = 6,656 : x
  2. Step 2: Convert to fraction form
    25,124/37,686.72 = 6,656/x
  3. Step 3: Cross multiply
    25,124x = 37,686.72 × 6,656
  4. Step 4: Simplify right side
    25,124x = 250,842,808.32
  5. Step 5: Solve for x
    x = 250,842,808.32/25,124
  6. Step 6: Final answer
    x = 9,984.19

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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.