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Finding the Fourth Proportional to 10,245, 14,138.10 and 6,053.28

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Solution

The fourth proportional to 10,245, 14,138.10 and 6,053.28 is: 8,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245 : 14,138.10 = 6,053.28 : x
  2. Step 2: Convert to fraction form
    10,245/14,138.10 = 6,053.28/x
  3. Step 3: Cross multiply
    10,245x = 14,138.10 × 6,053.28
  4. Step 4: Simplify right side
    10,245x = 85,581,877.97
  5. Step 5: Solve for x
    x = 85,581,877.97/10,245
  6. Step 6: Final answer
    x = 8,353.53

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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.