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Finding the Fourth Proportional to 17,098.76, 25,647.66 and 9,322.76

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Solution

The fourth proportional to 17,098.76, 25,647.66 and 9,322.76 is: 13,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,098.76 : 25,647.66 = 9,322.76 : x
  2. Step 2: Convert to fraction form
    17,098.76/25,647.66 = 9,322.76/x
  3. Step 3: Cross multiply
    17,098.76x = 25,647.66 × 9,322.76
  4. Step 4: Simplify right side
    17,098.76x = 239,106,978.74
  5. Step 5: Solve for x
    x = 239,106,978.74/17,098.76
  6. Step 6: Final answer
    x = 13,983.88

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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.