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Finding the Fourth Proportional to 12,823.13, 17,698.87 and 7,519.65

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Solution

The fourth proportional to 12,823.13, 17,698.87 and 7,519.65 is: 10,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.13 : 17,698.87 = 7,519.65 : x
  2. Step 2: Convert to fraction form
    12,823.13/17,698.87 = 7,519.65/x
  3. Step 3: Cross multiply
    12,823.13x = 17,698.87 × 7,519.65
  4. Step 4: Simplify right side
    12,823.13x = 133,089,345.82
  5. Step 5: Solve for x
    x = 133,089,345.82/12,823.13
  6. Step 6: Final answer
    x = 10,378.85

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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.