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Finding the Fourth Proportional to 10,125.41, 13,973.04 and 5,649.14

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Solution

The fourth proportional to 10,125.41, 13,973.04 and 5,649.14 is: 7,795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.41 : 13,973.04 = 5,649.14 : x
  2. Step 2: Convert to fraction form
    10,125.41/13,973.04 = 5,649.14/x
  3. Step 3: Cross multiply
    10,125.41x = 13,973.04 × 5,649.14
  4. Step 4: Simplify right side
    10,125.41x = 78,935,694.12
  5. Step 5: Solve for x
    x = 78,935,694.12/10,125.41
  6. Step 6: Final answer
    x = 7,795.81

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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.