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Finding the Fourth Proportional to 10,866.68, 16,295.10 and 4,287.80

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Solution

The fourth proportional to 10,866.68, 16,295.10 and 4,287.80 is: 6,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.68 : 16,295.10 = 4,287.80 : x
  2. Step 2: Convert to fraction form
    10,866.68/16,295.10 = 4,287.80/x
  3. Step 3: Cross multiply
    10,866.68x = 16,295.10 × 4,287.80
  4. Step 4: Simplify right side
    10,866.68x = 69,870,129.78
  5. Step 5: Solve for x
    x = 69,870,129.78/10,866.68
  6. Step 6: Final answer
    x = 6,429.76

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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.