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Finding the Fourth Proportional to 12,509.70, 18,764.53 and 5,932.29

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Solution

The fourth proportional to 12,509.70, 18,764.53 and 5,932.29 is: 8,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.70 : 18,764.53 = 5,932.29 : x
  2. Step 2: Convert to fraction form
    12,509.70/18,764.53 = 5,932.29/x
  3. Step 3: Cross multiply
    12,509.70x = 18,764.53 × 5,932.29
  4. Step 4: Simplify right side
    12,509.70x = 111,316,633.67
  5. Step 5: Solve for x
    x = 111,316,633.67/12,509.70
  6. Step 6: Final answer
    x = 8,898.43

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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.