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Finding the Fourth Proportional to 8,975.70, 12,375.18 and 7,714.26

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Solution

The fourth proportional to 8,975.70, 12,375.18 and 7,714.26 is: 10,635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975.70 : 12,375.18 = 7,714.26 : x
  2. Step 2: Convert to fraction form
    8,975.70/12,375.18 = 7,714.26/x
  3. Step 3: Cross multiply
    8,975.70x = 12,375.18 × 7,714.26
  4. Step 4: Simplify right side
    8,975.70x = 95,465,356.07
  5. Step 5: Solve for x
    x = 95,465,356.07/8,975.70
  6. Step 6: Final answer
    x = 10,635.98

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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.