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Finding the Fourth Proportional to 10,789.60, 14,897.02 and 8,267.26

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Solution

The fourth proportional to 10,789.60, 14,897.02 and 8,267.26 is: 11,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,789.60 : 14,897.02 = 8,267.26 : x
  2. Step 2: Convert to fraction form
    10,789.60/14,897.02 = 8,267.26/x
  3. Step 3: Cross multiply
    10,789.60x = 14,897.02 × 8,267.26
  4. Step 4: Simplify right side
    10,789.60x = 123,157,537.57
  5. Step 5: Solve for x
    x = 123,157,537.57/10,789.60
  6. Step 6: Final answer
    x = 11,414.47

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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.