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Finding the Fourth Proportional to 7,254.98, 10,012.70 and 4,069.14

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Solution

The fourth proportional to 7,254.98, 10,012.70 and 4,069.14 is: 5,615.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.98 : 10,012.70 = 4,069.14 : x
  2. Step 2: Convert to fraction form
    7,254.98/10,012.70 = 4,069.14/x
  3. Step 3: Cross multiply
    7,254.98x = 10,012.70 × 4,069.14
  4. Step 4: Simplify right side
    7,254.98x = 40,743,078.08
  5. Step 5: Solve for x
    x = 40,743,078.08/7,254.98
  6. Step 6: Final answer
    x = 5,615.88

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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.