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Finding the Fourth Proportional to 9,156.99, 13,734.52 and 6,214.33

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Solution

The fourth proportional to 9,156.99, 13,734.52 and 6,214.33 is: 9,320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.99 : 13,734.52 = 6,214.33 : x
  2. Step 2: Convert to fraction form
    9,156.99/13,734.52 = 6,214.33/x
  3. Step 3: Cross multiply
    9,156.99x = 13,734.52 × 6,214.33
  4. Step 4: Simplify right side
    9,156.99x = 85,350,839.67
  5. Step 5: Solve for x
    x = 85,350,839.67/9,156.99
  6. Step 6: Final answer
    x = 9,320.84

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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.