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Finding the Fourth Proportional to 7,574.91, 10,452.69 and 4,217.91

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Solution

The fourth proportional to 7,574.91, 10,452.69 and 4,217.91 is: 5,820.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.91 : 10,452.69 = 4,217.91 : x
  2. Step 2: Convert to fraction form
    7,574.91/10,452.69 = 4,217.91/x
  3. Step 3: Cross multiply
    7,574.91x = 10,452.69 × 4,217.91
  4. Step 4: Simplify right side
    7,574.91x = 44,088,505.68
  5. Step 5: Solve for x
    x = 44,088,505.68/7,574.91
  6. Step 6: Final answer
    x = 5,820.33

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.