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Finding the Fourth Proportional to 10,493.92, 14,482.02 and 5,778.64

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Solution

The fourth proportional to 10,493.92, 14,482.02 and 5,778.64 is: 7,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.92 : 14,482.02 = 5,778.64 : x
  2. Step 2: Convert to fraction form
    10,493.92/14,482.02 = 5,778.64/x
  3. Step 3: Cross multiply
    10,493.92x = 14,482.02 × 5,778.64
  4. Step 4: Simplify right side
    10,493.92x = 83,686,380.05
  5. Step 5: Solve for x
    x = 83,686,380.05/10,493.92
  6. Step 6: Final answer
    x = 7,974.75

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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.