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Finding the Fourth Proportional to 8,582.56, 11,854.80 and 6,347.68

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Solution

The fourth proportional to 8,582.56, 11,854.80 and 6,347.68 is: 8,767.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.56 : 11,854.80 = 6,347.68 : x
  2. Step 2: Convert to fraction form
    8,582.56/11,854.80 = 6,347.68/x
  3. Step 3: Cross multiply
    8,582.56x = 11,854.80 × 6,347.68
  4. Step 4: Simplify right side
    8,582.56x = 75,250,476.86
  5. Step 5: Solve for x
    x = 75,250,476.86/8,582.56
  6. Step 6: Final answer
    x = 8,767.84

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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.