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Finding the Fourth Proportional to 7,014.75, 9,680.36 and 3,871.01

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Solution

The fourth proportional to 7,014.75, 9,680.36 and 3,871.01 is: 5,341.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.75 : 9,680.36 = 3,871.01 : x
  2. Step 2: Convert to fraction form
    7,014.75/9,680.36 = 3,871.01/x
  3. Step 3: Cross multiply
    7,014.75x = 9,680.36 × 3,871.01
  4. Step 4: Simplify right side
    7,014.75x = 37,472,702.61
  5. Step 5: Solve for x
    x = 37,472,702.61/7,014.75
  6. Step 6: Final answer
    x = 5,341.99

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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.