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Finding the Fourth Proportional to 9,176.10, 13,764.15 and 8,374.20

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Solution

The fourth proportional to 9,176.10, 13,764.15 and 8,374.20 is: 12,561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.10 : 13,764.15 = 8,374.20 : x
  2. Step 2: Convert to fraction form
    9,176.10/13,764.15 = 8,374.20/x
  3. Step 3: Cross multiply
    9,176.10x = 13,764.15 × 8,374.20
  4. Step 4: Simplify right side
    9,176.10x = 115,263,744.93
  5. Step 5: Solve for x
    x = 115,263,744.93/9,176.10
  6. Step 6: Final answer
    x = 12,561.30

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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.