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Finding the Fourth Proportional to 10,438.74, 14,402.63 and 5,961.60

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Solution

The fourth proportional to 10,438.74, 14,402.63 and 5,961.60 is: 8,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.74 : 14,402.63 = 5,961.60 : x
  2. Step 2: Convert to fraction form
    10,438.74/14,402.63 = 5,961.60/x
  3. Step 3: Cross multiply
    10,438.74x = 14,402.63 × 5,961.60
  4. Step 4: Simplify right side
    10,438.74x = 85,862,733.91
  5. Step 5: Solve for x
    x = 85,862,733.91/10,438.74
  6. Step 6: Final answer
    x = 8,225.39

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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.