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Finding the Fourth Proportional to 10,295.80, 15,422.10 and 9,201.40

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Solution

The fourth proportional to 10,295.80, 15,422.10 and 9,201.40 is: 13,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.80 : 15,422.10 = 9,201.40 : x
  2. Step 2: Convert to fraction form
    10,295.80/15,422.10 = 9,201.40/x
  3. Step 3: Cross multiply
    10,295.80x = 15,422.10 × 9,201.40
  4. Step 4: Simplify right side
    10,295.80x = 141,904,910.94
  5. Step 5: Solve for x
    x = 141,904,910.94/10,295.80
  6. Step 6: Final answer
    x = 13,782.80

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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.