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Finding the Fourth Proportional to 9,151.10, 13,710.45 and 8,114.30

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Solution

The fourth proportional to 9,151.10, 13,710.45 and 8,114.30 is: 12,157.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.10 : 13,710.45 = 8,114.30 : x
  2. Step 2: Convert to fraction form
    9,151.10/13,710.45 = 8,114.30/x
  3. Step 3: Cross multiply
    9,151.10x = 13,710.45 × 8,114.30
  4. Step 4: Simplify right side
    9,151.10x = 111,250,704.44
  5. Step 5: Solve for x
    x = 111,250,704.44/9,151.10
  6. Step 6: Final answer
    x = 12,157.09

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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.