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Finding the Fourth Proportional to 14,876.48, 22,291 and 7,856.24

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Solution

The fourth proportional to 14,876.48, 22,291 and 7,856.24 is: 11,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876.48 : 22,291 = 7,856.24 : x
  2. Step 2: Convert to fraction form
    14,876.48/22,291 = 7,856.24/x
  3. Step 3: Cross multiply
    14,876.48x = 22,291 × 7,856.24
  4. Step 4: Simplify right side
    14,876.48x = 175,123,445.84
  5. Step 5: Solve for x
    x = 175,123,445.84/14,876.48
  6. Step 6: Final answer
    x = 11,771.83

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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.