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Finding the Fourth Proportional to 8,307.74, 11,458.97 and 4,947.96

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Solution

The fourth proportional to 8,307.74, 11,458.97 and 4,947.96 is: 6,824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.74 : 11,458.97 = 4,947.96 : x
  2. Step 2: Convert to fraction form
    8,307.74/11,458.97 = 4,947.96/x
  3. Step 3: Cross multiply
    8,307.74x = 11,458.97 × 4,947.96
  4. Step 4: Simplify right side
    8,307.74x = 56,698,500.46
  5. Step 5: Solve for x
    x = 56,698,500.46/8,307.74
  6. Step 6: Final answer
    x = 6,824.78

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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.