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Finding the Fourth Proportional to 6,476.60, 9,714.90 and 5,771.90

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Solution

The fourth proportional to 6,476.60, 9,714.90 and 5,771.90 is: 8,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.60 : 9,714.90 = 5,771.90 : x
  2. Step 2: Convert to fraction form
    6,476.60/9,714.90 = 5,771.90/x
  3. Step 3: Cross multiply
    6,476.60x = 9,714.90 × 5,771.90
  4. Step 4: Simplify right side
    6,476.60x = 56,073,431.31
  5. Step 5: Solve for x
    x = 56,073,431.31/6,476.60
  6. Step 6: Final answer
    x = 8,657.85

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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.