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Finding the Fourth Proportional to 16,865.20, 25,297.80 and 9,866.80

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Solution

The fourth proportional to 16,865.20, 25,297.80 and 9,866.80 is: 14,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,865.20 : 25,297.80 = 9,866.80 : x
  2. Step 2: Convert to fraction form
    16,865.20/25,297.80 = 9,866.80/x
  3. Step 3: Cross multiply
    16,865.20x = 25,297.80 × 9,866.80
  4. Step 4: Simplify right side
    16,865.20x = 249,608,333.04
  5. Step 5: Solve for x
    x = 249,608,333.04/16,865.20
  6. Step 6: Final answer
    x = 14,800.20

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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.