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Finding the Fourth Proportional to 3,444.40, 5,166.61 and 847.34

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Solution

The fourth proportional to 3,444.40, 5,166.61 and 847.34 is: 1,271.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.40 : 5,166.61 = 847.34 : x
  2. Step 2: Convert to fraction form
    3,444.40/5,166.61 = 847.34/x
  3. Step 3: Cross multiply
    3,444.40x = 5,166.61 × 847.34
  4. Step 4: Simplify right side
    3,444.40x = 4,377,854.59
  5. Step 5: Solve for x
    x = 4,377,854.59/3,444.40
  6. Step 6: Final answer
    x = 1,271.01

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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.