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Finding the Fourth Proportional to 8,920.64, 12,324.48 and 6,140.96

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Solution

The fourth proportional to 8,920.64, 12,324.48 and 6,140.96 is: 8,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,920.64 : 12,324.48 = 6,140.96 : x
  2. Step 2: Convert to fraction form
    8,920.64/12,324.48 = 6,140.96/x
  3. Step 3: Cross multiply
    8,920.64x = 12,324.48 × 6,140.96
  4. Step 4: Simplify right side
    8,920.64x = 75,684,138.70
  5. Step 5: Solve for x
    x = 75,684,138.70/8,920.64
  6. Step 6: Final answer
    x = 8,484.16

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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.