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Finding the Fourth Proportional to 10,297.80, 15,422.40 and 10,297.80

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Solution

The fourth proportional to 10,297.80, 15,422.40 and 10,297.80 is: 15,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.80 : 15,422.40 = 10,297.80 : x
  2. Step 2: Convert to fraction form
    10,297.80/15,422.40 = 10,297.80/x
  3. Step 3: Cross multiply
    10,297.80x = 15,422.40 × 10,297.80
  4. Step 4: Simplify right side
    10,297.80x = 158,816,790.72
  5. Step 5: Solve for x
    x = 158,816,790.72/10,297.80
  6. Step 6: Final answer
    x = 15,422.40

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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.