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Finding the Fourth Proportional to 7,199.96, 9,926.75 and 4,542.75

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Solution

The fourth proportional to 7,199.96, 9,926.75 and 4,542.75 is: 6,263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.96 : 9,926.75 = 4,542.75 : x
  2. Step 2: Convert to fraction form
    7,199.96/9,926.75 = 4,542.75/x
  3. Step 3: Cross multiply
    7,199.96x = 9,926.75 × 4,542.75
  4. Step 4: Simplify right side
    7,199.96x = 45,094,754.92
  5. Step 5: Solve for x
    x = 45,094,754.92/7,199.96
  6. Step 6: Final answer
    x = 6,263.20

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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.