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Finding the Fourth Proportional to 10,440.54, 14,407.35 and 5,964.54

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Solution

The fourth proportional to 10,440.54, 14,407.35 and 5,964.54 is: 8,230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.54 : 14,407.35 = 5,964.54 : x
  2. Step 2: Convert to fraction form
    10,440.54/14,407.35 = 5,964.54/x
  3. Step 3: Cross multiply
    10,440.54x = 14,407.35 × 5,964.54
  4. Step 4: Simplify right side
    10,440.54x = 85,933,215.37
  5. Step 5: Solve for x
    x = 85,933,215.37/10,440.54
  6. Step 6: Final answer
    x = 8,230.73

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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.