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Finding the Fourth Proportional to 8,164.60, 12,191.45 and 7,943.16

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Solution

The fourth proportional to 8,164.60, 12,191.45 and 7,943.16 is: 11,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.60 : 12,191.45 = 7,943.16 : x
  2. Step 2: Convert to fraction form
    8,164.60/12,191.45 = 7,943.16/x
  3. Step 3: Cross multiply
    8,164.60x = 12,191.45 × 7,943.16
  4. Step 4: Simplify right side
    8,164.60x = 96,838,643.98
  5. Step 5: Solve for x
    x = 96,838,643.98/8,164.60
  6. Step 6: Final answer
    x = 11,860.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.