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Finding the Fourth Proportional to 9,806.80, 14,697.40 and 7,067.60

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Solution

The fourth proportional to 9,806.80, 14,697.40 and 7,067.60 is: 10,592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.80 : 14,697.40 = 7,067.60 : x
  2. Step 2: Convert to fraction form
    9,806.80/14,697.40 = 7,067.60/x
  3. Step 3: Cross multiply
    9,806.80x = 14,697.40 × 7,067.60
  4. Step 4: Simplify right side
    9,806.80x = 103,875,344.24
  5. Step 5: Solve for x
    x = 103,875,344.24/9,806.80
  6. Step 6: Final answer
    x = 10,592.18

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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.