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Finding the Fourth Proportional to 6,422.03, 9,632.97 and 1,742.48

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Solution

The fourth proportional to 6,422.03, 9,632.97 and 1,742.48 is: 2,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.03 : 9,632.97 = 1,742.48 : x
  2. Step 2: Convert to fraction form
    6,422.03/9,632.97 = 1,742.48/x
  3. Step 3: Cross multiply
    6,422.03x = 9,632.97 × 1,742.48
  4. Step 4: Simplify right side
    6,422.03x = 16,785,259.11
  5. Step 5: Solve for x
    x = 16,785,259.11/6,422.03
  6. Step 6: Final answer
    x = 2,613.70

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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.