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Finding the Fourth Proportional to 13,937.13, 19,233 and 7,649.46

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Solution

The fourth proportional to 13,937.13, 19,233 and 7,649.46 is: 10,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.13 : 19,233 = 7,649.46 : x
  2. Step 2: Convert to fraction form
    13,937.13/19,233 = 7,649.46/x
  3. Step 3: Cross multiply
    13,937.13x = 19,233 × 7,649.46
  4. Step 4: Simplify right side
    13,937.13x = 147,122,064.18
  5. Step 5: Solve for x
    x = 147,122,064.18/13,937.13
  6. Step 6: Final answer
    x = 10,556.12

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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.