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Finding the Fourth Proportional to 10,187.48, 14,025.14 and 8,860.48

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Solution

The fourth proportional to 10,187.48, 14,025.14 and 8,860.48 is: 12,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187.48 : 14,025.14 = 8,860.48 : x
  2. Step 2: Convert to fraction form
    10,187.48/14,025.14 = 8,860.48/x
  3. Step 3: Cross multiply
    10,187.48x = 14,025.14 × 8,860.48
  4. Step 4: Simplify right side
    10,187.48x = 124,269,472.47
  5. Step 5: Solve for x
    x = 124,269,472.47/10,187.48
  6. Step 6: Final answer
    x = 12,198.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.