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Finding the Fourth Proportional to 10,051.92, 13,883.76 and 8,789.76

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Solution

The fourth proportional to 10,051.92, 13,883.76 and 8,789.76 is: 12,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.92 : 13,883.76 = 8,789.76 : x
  2. Step 2: Convert to fraction form
    10,051.92/13,883.76 = 8,789.76/x
  3. Step 3: Cross multiply
    10,051.92x = 13,883.76 × 8,789.76
  4. Step 4: Simplify right side
    10,051.92x = 122,034,918.30
  5. Step 5: Solve for x
    x = 122,034,918.30/10,051.92
  6. Step 6: Final answer
    x = 12,140.46

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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.