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Finding the Fourth Proportional to 8,741.40, 13,121.70 and 8,177.40

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Solution

The fourth proportional to 8,741.40, 13,121.70 and 8,177.40 is: 12,275.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,741.40 : 13,121.70 = 8,177.40 : x
  2. Step 2: Convert to fraction form
    8,741.40/13,121.70 = 8,177.40/x
  3. Step 3: Cross multiply
    8,741.40x = 13,121.70 × 8,177.40
  4. Step 4: Simplify right side
    8,741.40x = 107,301,389.58
  5. Step 5: Solve for x
    x = 107,301,389.58/8,741.40
  6. Step 6: Final answer
    x = 12,275.08

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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.