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Finding the Fourth Proportional to 3,147.50, 4,721.27 and 956.22

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Solution

The fourth proportional to 3,147.50, 4,721.27 and 956.22 is: 1,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.50 : 4,721.27 = 956.22 : x
  2. Step 2: Convert to fraction form
    3,147.50/4,721.27 = 956.22/x
  3. Step 3: Cross multiply
    3,147.50x = 4,721.27 × 956.22
  4. Step 4: Simplify right side
    3,147.50x = 4,514,568.02
  5. Step 5: Solve for x
    x = 4,514,568.02/3,147.50
  6. Step 6: Final answer
    x = 1,434.34

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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.