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Finding the Fourth Proportional to 14,951.13, 20,633.10 and 9,289

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Solution

The fourth proportional to 14,951.13, 20,633.10 and 9,289 is: 12,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,951.13 : 20,633.10 = 9,289 : x
  2. Step 2: Convert to fraction form
    14,951.13/20,633.10 = 9,289/x
  3. Step 3: Cross multiply
    14,951.13x = 20,633.10 × 9,289
  4. Step 4: Simplify right side
    14,951.13x = 191,660,865.90
  5. Step 5: Solve for x
    x = 191,660,865.90/14,951.13
  6. Step 6: Final answer
    x = 12,819.16

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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.