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Finding the Fourth Proportional to 4,769.24, 7,152.10 and 1,648.44

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Solution

The fourth proportional to 4,769.24, 7,152.10 and 1,648.44 is: 2,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.24 : 7,152.10 = 1,648.44 : x
  2. Step 2: Convert to fraction form
    4,769.24/7,152.10 = 1,648.44/x
  3. Step 3: Cross multiply
    4,769.24x = 7,152.10 × 1,648.44
  4. Step 4: Simplify right side
    4,769.24x = 11,789,803.60
  5. Step 5: Solve for x
    x = 11,789,803.60/4,769.24
  6. Step 6: Final answer
    x = 2,472.05

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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.