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Finding the Fourth Proportional to 9,901.32, 13,665.96 and 5,923.32

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Solution

The fourth proportional to 9,901.32, 13,665.96 and 5,923.32 is: 8,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.32 : 13,665.96 = 5,923.32 : x
  2. Step 2: Convert to fraction form
    9,901.32/13,665.96 = 5,923.32/x
  3. Step 3: Cross multiply
    9,901.32x = 13,665.96 × 5,923.32
  4. Step 4: Simplify right side
    9,901.32x = 80,947,854.19
  5. Step 5: Solve for x
    x = 80,947,854.19/9,901.32
  6. Step 6: Final answer
    x = 8,175.46

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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.