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Finding the Fourth Proportional to 8,404.80, 12,582.24 and 6,223.20

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Solution

The fourth proportional to 8,404.80, 12,582.24 and 6,223.20 is: 9,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.80 : 12,582.24 = 6,223.20 : x
  2. Step 2: Convert to fraction form
    8,404.80/12,582.24 = 6,223.20/x
  3. Step 3: Cross multiply
    8,404.80x = 12,582.24 × 6,223.20
  4. Step 4: Simplify right side
    8,404.80x = 78,301,795.97
  5. Step 5: Solve for x
    x = 78,301,795.97/8,404.80
  6. Step 6: Final answer
    x = 9,316.32

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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.