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Finding the Fourth Proportional to 3,444.54, 5,166.82 and 847.46

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Solution

The fourth proportional to 3,444.54, 5,166.82 and 847.46 is: 1,271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.54 : 5,166.82 = 847.46 : x
  2. Step 2: Convert to fraction form
    3,444.54/5,166.82 = 847.46/x
  3. Step 3: Cross multiply
    3,444.54x = 5,166.82 × 847.46
  4. Step 4: Simplify right side
    3,444.54x = 4,378,673.28
  5. Step 5: Solve for x
    x = 4,378,673.28/3,444.54
  6. Step 6: Final answer
    x = 1,271.19

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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.