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Finding the Fourth Proportional to 6,849.74, 9,456.36 and 4,750.22

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Solution

The fourth proportional to 6,849.74, 9,456.36 and 4,750.22 is: 6,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.74 : 9,456.36 = 4,750.22 : x
  2. Step 2: Convert to fraction form
    6,849.74/9,456.36 = 4,750.22/x
  3. Step 3: Cross multiply
    6,849.74x = 9,456.36 × 4,750.22
  4. Step 4: Simplify right side
    6,849.74x = 44,919,790.40
  5. Step 5: Solve for x
    x = 44,919,790.40/6,849.74
  6. Step 6: Final answer
    x = 6,557.88

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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.