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Finding the Fourth Proportional to 6,864.32, 9,472.80 and 3,720.48

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Solution

The fourth proportional to 6,864.32, 9,472.80 and 3,720.48 is: 5,134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.32 : 9,472.80 = 3,720.48 : x
  2. Step 2: Convert to fraction form
    6,864.32/9,472.80 = 3,720.48/x
  3. Step 3: Cross multiply
    6,864.32x = 9,472.80 × 3,720.48
  4. Step 4: Simplify right side
    6,864.32x = 35,243,362.94
  5. Step 5: Solve for x
    x = 35,243,362.94/6,864.32
  6. Step 6: Final answer
    x = 5,134.28

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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.