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Finding the Fourth Proportional to 6,409.44, 9,568.26 and 6,125.76

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Solution

The fourth proportional to 6,409.44, 9,568.26 and 6,125.76 is: 9,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.44 : 9,568.26 = 6,125.76 : x
  2. Step 2: Convert to fraction form
    6,409.44/9,568.26 = 6,125.76/x
  3. Step 3: Cross multiply
    6,409.44x = 9,568.26 × 6,125.76
  4. Step 4: Simplify right side
    6,409.44x = 58,612,864.38
  5. Step 5: Solve for x
    x = 58,612,864.38/6,409.44
  6. Step 6: Final answer
    x = 9,144.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.