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Finding the Fourth Proportional to 9,922.80, 14,884.20 and 6,812.40

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Solution

The fourth proportional to 9,922.80, 14,884.20 and 6,812.40 is: 10,218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.80 : 14,884.20 = 6,812.40 : x
  2. Step 2: Convert to fraction form
    9,922.80/14,884.20 = 6,812.40/x
  3. Step 3: Cross multiply
    9,922.80x = 14,884.20 × 6,812.40
  4. Step 4: Simplify right side
    9,922.80x = 101,397,124.08
  5. Step 5: Solve for x
    x = 101,397,124.08/9,922.80
  6. Step 6: Final answer
    x = 10,218.60

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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.