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Finding the Fourth Proportional to 22,985.40, 34,478.10 and 8,194.80

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Solution

The fourth proportional to 22,985.40, 34,478.10 and 8,194.80 is: 12,292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,985.40 : 34,478.10 = 8,194.80 : x
  2. Step 2: Convert to fraction form
    22,985.40/34,478.10 = 8,194.80/x
  3. Step 3: Cross multiply
    22,985.40x = 34,478.10 × 8,194.80
  4. Step 4: Simplify right side
    22,985.40x = 282,541,133.88
  5. Step 5: Solve for x
    x = 282,541,133.88/22,985.40
  6. Step 6: Final answer
    x = 12,292.20

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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.