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Finding the Fourth Proportional to 8,590.40, 12,882.40 and 2,432.32

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Solution

The fourth proportional to 8,590.40, 12,882.40 and 2,432.32 is: 3,647.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.40 : 12,882.40 = 2,432.32 : x
  2. Step 2: Convert to fraction form
    8,590.40/12,882.40 = 2,432.32/x
  3. Step 3: Cross multiply
    8,590.40x = 12,882.40 × 2,432.32
  4. Step 4: Simplify right side
    8,590.40x = 31,334,119.17
  5. Step 5: Solve for x
    x = 31,334,119.17/8,590.40
  6. Step 6: Final answer
    x = 3,647.57

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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.