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Finding the Fourth Proportional to 9,205.28, 13,810.16 and 2,965.32

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Solution

The fourth proportional to 9,205.28, 13,810.16 and 2,965.32 is: 4,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.28 : 13,810.16 = 2,965.32 : x
  2. Step 2: Convert to fraction form
    9,205.28/13,810.16 = 2,965.32/x
  3. Step 3: Cross multiply
    9,205.28x = 13,810.16 × 2,965.32
  4. Step 4: Simplify right side
    9,205.28x = 40,951,543.65
  5. Step 5: Solve for x
    x = 40,951,543.65/9,205.28
  6. Step 6: Final answer
    x = 4,448.70

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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.