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Finding the Fourth Proportional to 6,647.16, 9,973.62 and 3,565.56

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Solution

The fourth proportional to 6,647.16, 9,973.62 and 3,565.56 is: 5,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.16 : 9,973.62 = 3,565.56 : x
  2. Step 2: Convert to fraction form
    6,647.16/9,973.62 = 3,565.56/x
  3. Step 3: Cross multiply
    6,647.16x = 9,973.62 × 3,565.56
  4. Step 4: Simplify right side
    6,647.16x = 35,561,540.53
  5. Step 5: Solve for x
    x = 35,561,540.53/6,647.16
  6. Step 6: Final answer
    x = 5,349.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.