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Finding the Fourth Proportional to 5,627.44, 7,768.02 and 5,036.92

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Solution

The fourth proportional to 5,627.44, 7,768.02 and 5,036.92 is: 6,952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.44 : 7,768.02 = 5,036.92 : x
  2. Step 2: Convert to fraction form
    5,627.44/7,768.02 = 5,036.92/x
  3. Step 3: Cross multiply
    5,627.44x = 7,768.02 × 5,036.92
  4. Step 4: Simplify right side
    5,627.44x = 39,126,895.30
  5. Step 5: Solve for x
    x = 39,126,895.30/5,627.44
  6. Step 6: Final answer
    x = 6,952.88

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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.