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Finding the Fourth Proportional to 7,540.98, 10,406.88 and 5,019.06

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Solution

The fourth proportional to 7,540.98, 10,406.88 and 5,019.06 is: 6,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.98 : 10,406.88 = 5,019.06 : x
  2. Step 2: Convert to fraction form
    7,540.98/10,406.88 = 5,019.06/x
  3. Step 3: Cross multiply
    7,540.98x = 10,406.88 × 5,019.06
  4. Step 4: Simplify right side
    7,540.98x = 52,232,755.13
  5. Step 5: Solve for x
    x = 52,232,755.13/7,540.98
  6. Step 6: Final answer
    x = 6,926.52

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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.