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Finding the Fourth Proportional to 8,582.92, 12,854.40 and 8,346.46

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Solution

The fourth proportional to 8,582.92, 12,854.40 and 8,346.46 is: 12,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.92 : 12,854.40 = 8,346.46 : x
  2. Step 2: Convert to fraction form
    8,582.92/12,854.40 = 8,346.46/x
  3. Step 3: Cross multiply
    8,582.92x = 12,854.40 × 8,346.46
  4. Step 4: Simplify right side
    8,582.92x = 107,288,735.42
  5. Step 5: Solve for x
    x = 107,288,735.42/8,582.92
  6. Step 6: Final answer
    x = 12,500.26

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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.