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Finding the Fourth Proportional to 10,291.97, 14,202.97 and 5,576.25

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Solution

The fourth proportional to 10,291.97, 14,202.97 and 5,576.25 is: 7,695.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.97 : 14,202.97 = 5,576.25 : x
  2. Step 2: Convert to fraction form
    10,291.97/14,202.97 = 5,576.25/x
  3. Step 3: Cross multiply
    10,291.97x = 14,202.97 × 5,576.25
  4. Step 4: Simplify right side
    10,291.97x = 79,199,311.46
  5. Step 5: Solve for x
    x = 79,199,311.46/10,291.97
  6. Step 6: Final answer
    x = 7,695.26

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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.