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Finding the Fourth Proportional to 7,574.47, 11,363.24 and 3,191.93

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Solution

The fourth proportional to 7,574.47, 11,363.24 and 3,191.93 is: 4,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.47 : 11,363.24 = 3,191.93 : x
  2. Step 2: Convert to fraction form
    7,574.47/11,363.24 = 3,191.93/x
  3. Step 3: Cross multiply
    7,574.47x = 11,363.24 × 3,191.93
  4. Step 4: Simplify right side
    7,574.47x = 36,270,660.43
  5. Step 5: Solve for x
    x = 36,270,660.43/7,574.47
  6. Step 6: Final answer
    x = 4,788.54

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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.