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Finding the Fourth Proportional to 5,948.22, 8,206.44 and 4,689.48

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Solution

The fourth proportional to 5,948.22, 8,206.44 and 4,689.48 is: 6,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.22 : 8,206.44 = 4,689.48 : x
  2. Step 2: Convert to fraction form
    5,948.22/8,206.44 = 4,689.48/x
  3. Step 3: Cross multiply
    5,948.22x = 8,206.44 × 4,689.48
  4. Step 4: Simplify right side
    5,948.22x = 38,483,936.25
  5. Step 5: Solve for x
    x = 38,483,936.25/5,948.22
  6. Step 6: Final answer
    x = 6,469.82

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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.