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Finding the Fourth Proportional to 7,114.76, 10,672.14 and 3,219.08

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Solution

The fourth proportional to 7,114.76, 10,672.14 and 3,219.08 is: 4,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.76 : 10,672.14 = 3,219.08 : x
  2. Step 2: Convert to fraction form
    7,114.76/10,672.14 = 3,219.08/x
  3. Step 3: Cross multiply
    7,114.76x = 10,672.14 × 3,219.08
  4. Step 4: Simplify right side
    7,114.76x = 34,354,472.43
  5. Step 5: Solve for x
    x = 34,354,472.43/7,114.76
  6. Step 6: Final answer
    x = 4,828.62

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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.