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Finding the Fourth Proportional to 7,057.46, 9,714.85 and 6,099.93

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Solution

The fourth proportional to 7,057.46, 9,714.85 and 6,099.93 is: 8,396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.46 : 9,714.85 = 6,099.93 : x
  2. Step 2: Convert to fraction form
    7,057.46/9,714.85 = 6,099.93/x
  3. Step 3: Cross multiply
    7,057.46x = 9,714.85 × 6,099.93
  4. Step 4: Simplify right side
    7,057.46x = 59,259,934.19
  5. Step 5: Solve for x
    x = 59,259,934.19/7,057.46
  6. Step 6: Final answer
    x = 8,396.78

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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.