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Finding the Fourth Proportional to 5,581.66, 7,704.30 and 4,470.34

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Solution

The fourth proportional to 5,581.66, 7,704.30 and 4,470.34 is: 6,170.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.66 : 7,704.30 = 4,470.34 : x
  2. Step 2: Convert to fraction form
    5,581.66/7,704.30 = 4,470.34/x
  3. Step 3: Cross multiply
    5,581.66x = 7,704.30 × 4,470.34
  4. Step 4: Simplify right side
    5,581.66x = 34,440,840.46
  5. Step 5: Solve for x
    x = 34,440,840.46/5,581.66
  6. Step 6: Final answer
    x = 6,170.36

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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.