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Finding the Fourth Proportional to 17,537.70, 26,311.14 and 7,678.92

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Solution

The fourth proportional to 17,537.70, 26,311.14 and 7,678.92 is: 11,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.70 : 26,311.14 = 7,678.92 : x
  2. Step 2: Convert to fraction form
    17,537.70/26,311.14 = 7,678.92/x
  3. Step 3: Cross multiply
    17,537.70x = 26,311.14 × 7,678.92
  4. Step 4: Simplify right side
    17,537.70x = 202,041,139.17
  5. Step 5: Solve for x
    x = 202,041,139.17/17,537.70
  6. Step 6: Final answer
    x = 11,520.39

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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.