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Finding the Fourth Proportional to 7,124.68, 10,689.42 and 2,194.12

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Solution

The fourth proportional to 7,124.68, 10,689.42 and 2,194.12 is: 3,291.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.68 : 10,689.42 = 2,194.12 : x
  2. Step 2: Convert to fraction form
    7,124.68/10,689.42 = 2,194.12/x
  3. Step 3: Cross multiply
    7,124.68x = 10,689.42 × 2,194.12
  4. Step 4: Simplify right side
    7,124.68x = 23,453,870.21
  5. Step 5: Solve for x
    x = 23,453,870.21/7,124.68
  6. Step 6: Final answer
    x = 3,291.92

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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.