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Finding the Fourth Proportional to 7,171, 9,896.52 and 4,377.04

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Solution

The fourth proportional to 7,171, 9,896.52 and 4,377.04 is: 6,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171 : 9,896.52 = 4,377.04 : x
  2. Step 2: Convert to fraction form
    7,171/9,896.52 = 4,377.04/x
  3. Step 3: Cross multiply
    7,171x = 9,896.52 × 4,377.04
  4. Step 4: Simplify right side
    7,171x = 43,317,463.90
  5. Step 5: Solve for x
    x = 43,317,463.90/7,171
  6. Step 6: Final answer
    x = 6,040.64

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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.