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Finding the Fourth Proportional to 6,986.21, 9,641.07 and 4,002.30

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Solution

The fourth proportional to 6,986.21, 9,641.07 and 4,002.30 is: 5,523.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.21 : 9,641.07 = 4,002.30 : x
  2. Step 2: Convert to fraction form
    6,986.21/9,641.07 = 4,002.30/x
  3. Step 3: Cross multiply
    6,986.21x = 9,641.07 × 4,002.30
  4. Step 4: Simplify right side
    6,986.21x = 38,586,454.46
  5. Step 5: Solve for x
    x = 38,586,454.46/6,986.21
  6. Step 6: Final answer
    x = 5,523.24

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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.