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Finding the Fourth Proportional to 10,382.96, 14,330.10 and 6,134.48

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Solution

The fourth proportional to 10,382.96, 14,330.10 and 6,134.48 is: 8,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.96 : 14,330.10 = 6,134.48 : x
  2. Step 2: Convert to fraction form
    10,382.96/14,330.10 = 6,134.48/x
  3. Step 3: Cross multiply
    10,382.96x = 14,330.10 × 6,134.48
  4. Step 4: Simplify right side
    10,382.96x = 87,907,711.85
  5. Step 5: Solve for x
    x = 87,907,711.85/10,382.96
  6. Step 6: Final answer
    x = 8,466.54

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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.