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Finding the Fourth Proportional to 8,507.99, 12,753.27 and 8,294.55

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Solution

The fourth proportional to 8,507.99, 12,753.27 and 8,294.55 is: 12,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.99 : 12,753.27 = 8,294.55 : x
  2. Step 2: Convert to fraction form
    8,507.99/12,753.27 = 8,294.55/x
  3. Step 3: Cross multiply
    8,507.99x = 12,753.27 × 8,294.55
  4. Step 4: Simplify right side
    8,507.99x = 105,782,698.67
  5. Step 5: Solve for x
    x = 105,782,698.67/8,507.99
  6. Step 6: Final answer
    x = 12,433.34

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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.