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Finding the Fourth Proportional to 17,648.76, 26,473.14 and 7,123.56

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Solution

The fourth proportional to 17,648.76, 26,473.14 and 7,123.56 is: 10,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.76 : 26,473.14 = 7,123.56 : x
  2. Step 2: Convert to fraction form
    17,648.76/26,473.14 = 7,123.56/x
  3. Step 3: Cross multiply
    17,648.76x = 26,473.14 × 7,123.56
  4. Step 4: Simplify right side
    17,648.76x = 188,583,001.18
  5. Step 5: Solve for x
    x = 188,583,001.18/17,648.76
  6. Step 6: Final answer
    x = 10,685.34

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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.