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Finding the Fourth Proportional to 6,117.68, 9,178.24 and 2,999.46

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Solution

The fourth proportional to 6,117.68, 9,178.24 and 2,999.46 is: 4,500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.68 : 9,178.24 = 2,999.46 : x
  2. Step 2: Convert to fraction form
    6,117.68/9,178.24 = 2,999.46/x
  3. Step 3: Cross multiply
    6,117.68x = 9,178.24 × 2,999.46
  4. Step 4: Simplify right side
    6,117.68x = 27,529,763.75
  5. Step 5: Solve for x
    x = 27,529,763.75/6,117.68
  6. Step 6: Final answer
    x = 4,500.03

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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.