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Finding the Fourth Proportional to 14,865.86, 20,514.72 and 8,151.47

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Solution

The fourth proportional to 14,865.86, 20,514.72 and 8,151.47 is: 11,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865.86 : 20,514.72 = 8,151.47 : x
  2. Step 2: Convert to fraction form
    14,865.86/20,514.72 = 8,151.47/x
  3. Step 3: Cross multiply
    14,865.86x = 20,514.72 × 8,151.47
  4. Step 4: Simplify right side
    14,865.86x = 167,225,052.63
  5. Step 5: Solve for x
    x = 167,225,052.63/14,865.86
  6. Step 6: Final answer
    x = 11,248.93

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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.