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Finding the Fourth Proportional to 15,782.92, 23,679.87 and 7,024.12

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Solution

The fourth proportional to 15,782.92, 23,679.87 and 7,024.12 is: 10,538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.92 : 23,679.87 = 7,024.12 : x
  2. Step 2: Convert to fraction form
    15,782.92/23,679.87 = 7,024.12/x
  3. Step 3: Cross multiply
    15,782.92x = 23,679.87 × 7,024.12
  4. Step 4: Simplify right side
    15,782.92x = 166,330,248.46
  5. Step 5: Solve for x
    x = 166,330,248.46/15,782.92
  6. Step 6: Final answer
    x = 10,538.62

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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.