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Finding the Fourth Proportional to 6,532.58, 9,017.01 and 4,174.72

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Solution

The fourth proportional to 6,532.58, 9,017.01 and 4,174.72 is: 5,762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.58 : 9,017.01 = 4,174.72 : x
  2. Step 2: Convert to fraction form
    6,532.58/9,017.01 = 4,174.72/x
  3. Step 3: Cross multiply
    6,532.58x = 9,017.01 × 4,174.72
  4. Step 4: Simplify right side
    6,532.58x = 37,643,469.44
  5. Step 5: Solve for x
    x = 37,643,469.44/6,532.58
  6. Step 6: Final answer
    x = 5,762.42

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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.