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Finding the Fourth Proportional to 5,954.61, 8,198.65 and 5,056.46

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Solution

The fourth proportional to 5,954.61, 8,198.65 and 5,056.46 is: 6,962.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.61 : 8,198.65 = 5,056.46 : x
  2. Step 2: Convert to fraction form
    5,954.61/8,198.65 = 5,056.46/x
  3. Step 3: Cross multiply
    5,954.61x = 8,198.65 × 5,056.46
  4. Step 4: Simplify right side
    5,954.61x = 41,456,145.78
  5. Step 5: Solve for x
    x = 41,456,145.78/5,954.61
  6. Step 6: Final answer
    x = 6,962.03

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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.