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Finding the Fourth Proportional to 5,348.64, 7,969.65 and 4,766.70

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Solution

The fourth proportional to 5,348.64, 7,969.65 and 4,766.70 is: 7,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348.64 : 7,969.65 = 4,766.70 : x
  2. Step 2: Convert to fraction form
    5,348.64/7,969.65 = 4,766.70/x
  3. Step 3: Cross multiply
    5,348.64x = 7,969.65 × 4,766.70
  4. Step 4: Simplify right side
    5,348.64x = 37,988,930.66
  5. Step 5: Solve for x
    x = 37,988,930.66/5,348.64
  6. Step 6: Final answer
    x = 7,102.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.