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Finding the Fourth Proportional to 10,463.72, 14,443.72 and 6,928.07

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Solution

The fourth proportional to 10,463.72, 14,443.72 and 6,928.07 is: 9,563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.72 : 14,443.72 = 6,928.07 : x
  2. Step 2: Convert to fraction form
    10,463.72/14,443.72 = 6,928.07/x
  3. Step 3: Cross multiply
    10,463.72x = 14,443.72 × 6,928.07
  4. Step 4: Simplify right side
    10,463.72x = 100,067,013.68
  5. Step 5: Solve for x
    x = 100,067,013.68/10,463.72
  6. Step 6: Final answer
    x = 9,563.24

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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.