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Finding the Fourth Proportional to 9,199, 13,798.77 and 2,959.65

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Solution

The fourth proportional to 9,199, 13,798.77 and 2,959.65 is: 4,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199 : 13,798.77 = 2,959.65 : x
  2. Step 2: Convert to fraction form
    9,199/13,798.77 = 2,959.65/x
  3. Step 3: Cross multiply
    9,199x = 13,798.77 × 2,959.65
  4. Step 4: Simplify right side
    9,199x = 40,839,529.63
  5. Step 5: Solve for x
    x = 40,839,529.63/9,199
  6. Step 6: Final answer
    x = 4,439.56

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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.