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Finding the Fourth Proportional to 7,174.61, 10,766.09 and 3,014.30

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Solution

The fourth proportional to 7,174.61, 10,766.09 and 3,014.30 is: 4,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.61 : 10,766.09 = 3,014.30 : x
  2. Step 2: Convert to fraction form
    7,174.61/10,766.09 = 3,014.30/x
  3. Step 3: Cross multiply
    7,174.61x = 10,766.09 × 3,014.30
  4. Step 4: Simplify right side
    7,174.61x = 32,452,225.09
  5. Step 5: Solve for x
    x = 32,452,225.09/7,174.61
  6. Step 6: Final answer
    x = 4,523.20

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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.