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Finding the Fourth Proportional to 6,567.53, 9,851.30 and 3,964.97

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Solution

The fourth proportional to 6,567.53, 9,851.30 and 3,964.97 is: 5,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.53 : 9,851.30 = 3,964.97 : x
  2. Step 2: Convert to fraction form
    6,567.53/9,851.30 = 3,964.97/x
  3. Step 3: Cross multiply
    6,567.53x = 9,851.30 × 3,964.97
  4. Step 4: Simplify right side
    6,567.53x = 39,060,089.14
  5. Step 5: Solve for x
    x = 39,060,089.14/6,567.53
  6. Step 6: Final answer
    x = 5,947.46

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Similar ratio
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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.