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Finding the Fourth Proportional to 8,970.93, 12,380.87 and 5,194.05

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Solution

The fourth proportional to 8,970.93, 12,380.87 and 5,194.05 is: 7,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.93 : 12,380.87 = 5,194.05 : x
  2. Step 2: Convert to fraction form
    8,970.93/12,380.87 = 5,194.05/x
  3. Step 3: Cross multiply
    8,970.93x = 12,380.87 × 5,194.05
  4. Step 4: Simplify right side
    8,970.93x = 64,306,824.38
  5. Step 5: Solve for x
    x = 64,306,824.38/8,970.93
  6. Step 6: Final answer
    x = 7,168.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.