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Finding the Fourth Proportional to 8,097.92, 12,154.47 and 4,152.11

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Solution

The fourth proportional to 8,097.92, 12,154.47 and 4,152.11 is: 6,232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.92 : 12,154.47 = 4,152.11 : x
  2. Step 2: Convert to fraction form
    8,097.92/12,154.47 = 4,152.11/x
  3. Step 3: Cross multiply
    8,097.92x = 12,154.47 × 4,152.11
  4. Step 4: Simplify right side
    8,097.92x = 50,466,675.67
  5. Step 5: Solve for x
    x = 50,466,675.67/8,097.92
  6. Step 6: Final answer
    x = 6,232.06

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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.