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Finding the Fourth Proportional to 10,109.10, 13,948.02 and 6,571.74

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Solution

The fourth proportional to 10,109.10, 13,948.02 and 6,571.74 is: 9,067.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.10 : 13,948.02 = 6,571.74 : x
  2. Step 2: Convert to fraction form
    10,109.10/13,948.02 = 6,571.74/x
  3. Step 3: Cross multiply
    10,109.10x = 13,948.02 × 6,571.74
  4. Step 4: Simplify right side
    10,109.10x = 91,662,760.95
  5. Step 5: Solve for x
    x = 91,662,760.95/10,109.10
  6. Step 6: Final answer
    x = 9,067.35

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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.