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Finding the Fourth Proportional to 7,574.12, 11,352.78 and 5,719.22

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Solution

The fourth proportional to 7,574.12, 11,352.78 and 5,719.22 is: 8,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.12 : 11,352.78 = 5,719.22 : x
  2. Step 2: Convert to fraction form
    7,574.12/11,352.78 = 5,719.22/x
  3. Step 3: Cross multiply
    7,574.12x = 11,352.78 × 5,719.22
  4. Step 4: Simplify right side
    7,574.12x = 64,929,046.43
  5. Step 5: Solve for x
    x = 64,929,046.43/7,574.12
  6. Step 6: Final answer
    x = 8,572.49

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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.