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Finding the Fourth Proportional to 9,049.45, 13,547.24 and 8,099.12

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Solution

The fourth proportional to 9,049.45, 13,547.24 and 8,099.12 is: 12,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.45 : 13,547.24 = 8,099.12 : x
  2. Step 2: Convert to fraction form
    9,049.45/13,547.24 = 8,099.12/x
  3. Step 3: Cross multiply
    9,049.45x = 13,547.24 × 8,099.12
  4. Step 4: Simplify right side
    9,049.45x = 109,720,692.75
  5. Step 5: Solve for x
    x = 109,720,692.75/9,049.45
  6. Step 6: Final answer
    x = 12,124.57

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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.