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Finding the Fourth Proportional to 6,432.24, 9,648.12 and 2,328.24

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Solution

The fourth proportional to 6,432.24, 9,648.12 and 2,328.24 is: 3,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.24 : 9,648.12 = 2,328.24 : x
  2. Step 2: Convert to fraction form
    6,432.24/9,648.12 = 2,328.24/x
  3. Step 3: Cross multiply
    6,432.24x = 9,648.12 × 2,328.24
  4. Step 4: Simplify right side
    6,432.24x = 22,463,138.91
  5. Step 5: Solve for x
    x = 22,463,138.91/6,432.24
  6. Step 6: Final answer
    x = 3,492.27

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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.