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Finding the Fourth Proportional to 9,722.80, 14,584.20 and 4,174.30

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Solution

The fourth proportional to 9,722.80, 14,584.20 and 4,174.30 is: 6,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.80 : 14,584.20 = 4,174.30 : x
  2. Step 2: Convert to fraction form
    9,722.80/14,584.20 = 4,174.30/x
  3. Step 3: Cross multiply
    9,722.80x = 14,584.20 × 4,174.30
  4. Step 4: Simplify right side
    9,722.80x = 60,878,826.06
  5. Step 5: Solve for x
    x = 60,878,826.06/9,722.80
  6. Step 6: Final answer
    x = 6,261.45

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Similar ratio
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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.