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Finding the Fourth Proportional to 17,097.76, 25,649.76 and 6,001.12

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Solution

The fourth proportional to 17,097.76, 25,649.76 and 6,001.12 is: 9,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.76 : 25,649.76 = 6,001.12 : x
  2. Step 2: Convert to fraction form
    17,097.76/25,649.76 = 6,001.12/x
  3. Step 3: Cross multiply
    17,097.76x = 25,649.76 × 6,001.12
  4. Step 4: Simplify right side
    17,097.76x = 153,927,287.73
  5. Step 5: Solve for x
    x = 153,927,287.73/17,097.76
  6. Step 6: Final answer
    x = 9,002.78

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1.5x scale

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.