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Finding the Fourth Proportional to 15,498.76, 23,248.14 and 7,174.22

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Solution

The fourth proportional to 15,498.76, 23,248.14 and 7,174.22 is: 10,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,498.76 : 23,248.14 = 7,174.22 : x
  2. Step 2: Convert to fraction form
    15,498.76/23,248.14 = 7,174.22/x
  3. Step 3: Cross multiply
    15,498.76x = 23,248.14 × 7,174.22
  4. Step 4: Simplify right side
    15,498.76x = 166,787,329.07
  5. Step 5: Solve for x
    x = 166,787,329.07/15,498.76
  6. Step 6: Final answer
    x = 10,761.34

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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.