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Finding the Fourth Proportional to 6,966.52, 10,435.98 and 4,193.92

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Solution

The fourth proportional to 6,966.52, 10,435.98 and 4,193.92 is: 6,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.52 : 10,435.98 = 4,193.92 : x
  2. Step 2: Convert to fraction form
    6,966.52/10,435.98 = 4,193.92/x
  3. Step 3: Cross multiply
    6,966.52x = 10,435.98 × 4,193.92
  4. Step 4: Simplify right side
    6,966.52x = 43,767,665.24
  5. Step 5: Solve for x
    x = 43,767,665.24/6,966.52
  6. Step 6: Final answer
    x = 6,282.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.