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Finding the Fourth Proportional to 10,835.90, 14,960.49 and 8,851.22

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Solution

The fourth proportional to 10,835.90, 14,960.49 and 8,851.22 is: 12,220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.90 : 14,960.49 = 8,851.22 : x
  2. Step 2: Convert to fraction form
    10,835.90/14,960.49 = 8,851.22/x
  3. Step 3: Cross multiply
    10,835.90x = 14,960.49 × 8,851.22
  4. Step 4: Simplify right side
    10,835.90x = 132,418,588.30
  5. Step 5: Solve for x
    x = 132,418,588.30/10,835.90
  6. Step 6: Final answer
    x = 12,220.36

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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.