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Finding the Fourth Proportional to 22,509.28, 33,763.90 and 7,718.32

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Solution

The fourth proportional to 22,509.28, 33,763.90 and 7,718.32 is: 11,577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.28 : 33,763.90 = 7,718.32 : x
  2. Step 2: Convert to fraction form
    22,509.28/33,763.90 = 7,718.32/x
  3. Step 3: Cross multiply
    22,509.28x = 33,763.90 × 7,718.32
  4. Step 4: Simplify right side
    22,509.28x = 260,600,584.65
  5. Step 5: Solve for x
    x = 260,600,584.65/22,509.28
  6. Step 6: Final answer
    x = 11,577.47

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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.