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Finding the Fourth Proportional to 14,552.70, 20,085.14 and 8,585.83

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Solution

The fourth proportional to 14,552.70, 20,085.14 and 8,585.83 is: 11,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,552.70 : 20,085.14 = 8,585.83 : x
  2. Step 2: Convert to fraction form
    14,552.70/20,085.14 = 8,585.83/x
  3. Step 3: Cross multiply
    14,552.70x = 20,085.14 × 8,585.83
  4. Step 4: Simplify right side
    14,552.70x = 172,447,597.57
  5. Step 5: Solve for x
    x = 172,447,597.57/14,552.70
  6. Step 6: Final answer
    x = 11,849.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.