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Finding the Fourth Proportional to 4,768.42, 7,152.95 and 1,648.73

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Solution

The fourth proportional to 4,768.42, 7,152.95 and 1,648.73 is: 2,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.42 : 7,152.95 = 1,648.73 : x
  2. Step 2: Convert to fraction form
    4,768.42/7,152.95 = 1,648.73/x
  3. Step 3: Cross multiply
    4,768.42x = 7,152.95 × 1,648.73
  4. Step 4: Simplify right side
    4,768.42x = 11,793,283.25
  5. Step 5: Solve for x
    x = 11,793,283.25/4,768.42
  6. Step 6: Final answer
    x = 2,473.21

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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.