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Finding the Fourth Proportional to 10,641.92, 14,686.01 and 5,926.20

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Solution

The fourth proportional to 10,641.92, 14,686.01 and 5,926.20 is: 8,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.92 : 14,686.01 = 5,926.20 : x
  2. Step 2: Convert to fraction form
    10,641.92/14,686.01 = 5,926.20/x
  3. Step 3: Cross multiply
    10,641.92x = 14,686.01 × 5,926.20
  4. Step 4: Simplify right side
    10,641.92x = 87,032,231.94
  5. Step 5: Solve for x
    x = 87,032,231.94/10,641.92
  6. Step 6: Final answer
    x = 8,178.25

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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.