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Finding the Fourth Proportional to 10,482.72, 15,724.07 and 2,585.22

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Solution

The fourth proportional to 10,482.72, 15,724.07 and 2,585.22 is: 3,877.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.72 : 15,724.07 = 2,585.22 : x
  2. Step 2: Convert to fraction form
    10,482.72/15,724.07 = 2,585.22/x
  3. Step 3: Cross multiply
    10,482.72x = 15,724.07 × 2,585.22
  4. Step 4: Simplify right side
    10,482.72x = 40,650,132.59
  5. Step 5: Solve for x
    x = 40,650,132.59/10,482.72
  6. Step 6: Final answer
    x = 3,877.82

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Similar ratio
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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.