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Finding the Fourth Proportional to 8,489.76, 11,714.94 and 4,903.62

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Solution

The fourth proportional to 8,489.76, 11,714.94 and 4,903.62 is: 6,766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.76 : 11,714.94 = 4,903.62 : x
  2. Step 2: Convert to fraction form
    8,489.76/11,714.94 = 4,903.62/x
  3. Step 3: Cross multiply
    8,489.76x = 11,714.94 × 4,903.62
  4. Step 4: Simplify right side
    8,489.76x = 57,445,614.08
  5. Step 5: Solve for x
    x = 57,445,614.08/8,489.76
  6. Step 6: Final answer
    x = 6,766.46

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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.