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Finding the Fourth Proportional to 15,311.68, 22,968.12 and 4,219.24

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Solution

The fourth proportional to 15,311.68, 22,968.12 and 4,219.24 is: 6,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,311.68 : 22,968.12 = 4,219.24 : x
  2. Step 2: Convert to fraction form
    15,311.68/22,968.12 = 4,219.24/x
  3. Step 3: Cross multiply
    15,311.68x = 22,968.12 × 4,219.24
  4. Step 4: Simplify right side
    15,311.68x = 96,908,010.63
  5. Step 5: Solve for x
    x = 96,908,010.63/15,311.68
  6. Step 6: Final answer
    x = 6,329.03

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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.