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Finding the Fourth Proportional to 10,321.42, 15,482.68 and 6,163.42

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Solution

The fourth proportional to 10,321.42, 15,482.68 and 6,163.42 is: 9,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.42 : 15,482.68 = 6,163.42 : x
  2. Step 2: Convert to fraction form
    10,321.42/15,482.68 = 6,163.42/x
  3. Step 3: Cross multiply
    10,321.42x = 15,482.68 × 6,163.42
  4. Step 4: Simplify right side
    10,321.42x = 95,426,259.57
  5. Step 5: Solve for x
    x = 95,426,259.57/10,321.42
  6. Step 6: Final answer
    x = 9,245.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.