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Finding the Fourth Proportional to 7,944, 10,963.20 and 4,632

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Solution

The fourth proportional to 7,944, 10,963.20 and 4,632 is: 6,392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944 : 10,963.20 = 4,632 : x
  2. Step 2: Convert to fraction form
    7,944/10,963.20 = 4,632/x
  3. Step 3: Cross multiply
    7,944x = 10,963.20 × 4,632
  4. Step 4: Simplify right side
    7,944x = 50,781,542.40
  5. Step 5: Solve for x
    x = 50,781,542.40/7,944
  6. Step 6: Final answer
    x = 6,392.44

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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.