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Finding the Fourth Proportional to 10,610.40, 14,641.92 and 5,894.40

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Solution

The fourth proportional to 10,610.40, 14,641.92 and 5,894.40 is: 8,134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.40 : 14,641.92 = 5,894.40 : x
  2. Step 2: Convert to fraction form
    10,610.40/14,641.92 = 5,894.40/x
  3. Step 3: Cross multiply
    10,610.40x = 14,641.92 × 5,894.40
  4. Step 4: Simplify right side
    10,610.40x = 86,305,333.25
  5. Step 5: Solve for x
    x = 86,305,333.25/10,610.40
  6. Step 6: Final answer
    x = 8,134.03

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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.