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Finding the Fourth Proportional to 8,405.84, 11,600.34 and 6,057.92

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Solution

The fourth proportional to 8,405.84, 11,600.34 and 6,057.92 is: 8,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.84 : 11,600.34 = 6,057.92 : x
  2. Step 2: Convert to fraction form
    8,405.84/11,600.34 = 6,057.92/x
  3. Step 3: Cross multiply
    8,405.84x = 11,600.34 × 6,057.92
  4. Step 4: Simplify right side
    8,405.84x = 70,273,931.69
  5. Step 5: Solve for x
    x = 70,273,931.69/8,405.84
  6. Step 6: Final answer
    x = 8,360.13

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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.