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Finding the Fourth Proportional to 10,590.97, 15,877.64 and 8,261.30

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Solution

The fourth proportional to 10,590.97, 15,877.64 and 8,261.30 is: 12,385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.97 : 15,877.64 = 8,261.30 : x
  2. Step 2: Convert to fraction form
    10,590.97/15,877.64 = 8,261.30/x
  3. Step 3: Cross multiply
    10,590.97x = 15,877.64 × 8,261.30
  4. Step 4: Simplify right side
    10,590.97x = 131,169,947.33
  5. Step 5: Solve for x
    x = 131,169,947.33/10,590.97
  6. Step 6: Final answer
    x = 12,385.07

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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.