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Finding the Fourth Proportional to 10,443, 14,410.86 and 6,253.56

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Solution

The fourth proportional to 10,443, 14,410.86 and 6,253.56 is: 8,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443 : 14,410.86 = 6,253.56 : x
  2. Step 2: Convert to fraction form
    10,443/14,410.86 = 6,253.56/x
  3. Step 3: Cross multiply
    10,443x = 14,410.86 × 6,253.56
  4. Step 4: Simplify right side
    10,443x = 90,119,177.66
  5. Step 5: Solve for x
    x = 90,119,177.66/10,443
  6. Step 6: Final answer
    x = 8,629.63

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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.