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Finding the Fourth Proportional to 8,582.76, 11,847.06 and 5,227.74

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Solution

The fourth proportional to 8,582.76, 11,847.06 and 5,227.74 is: 7,216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.76 : 11,847.06 = 5,227.74 : x
  2. Step 2: Convert to fraction form
    8,582.76/11,847.06 = 5,227.74/x
  3. Step 3: Cross multiply
    8,582.76x = 11,847.06 × 5,227.74
  4. Step 4: Simplify right side
    8,582.76x = 61,933,349.44
  5. Step 5: Solve for x
    x = 61,933,349.44/8,582.76
  6. Step 6: Final answer
    x = 7,216.02

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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.