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Finding the Fourth Proportional to 7,057.00, 9,714.22 and 6,099.47

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Solution

The fourth proportional to 7,057.00, 9,714.22 and 6,099.47 is: 8,396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.00 : 9,714.22 = 6,099.47 : x
  2. Step 2: Convert to fraction form
    7,057.00/9,714.22 = 6,099.47/x
  3. Step 3: Cross multiply
    7,057.00x = 9,714.22 × 6,099.47
  4. Step 4: Simplify right side
    7,057.00x = 59,251,628.02
  5. Step 5: Solve for x
    x = 59,251,628.02/7,057.00
  6. Step 6: Final answer
    x = 8,396.14

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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.