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Finding the Fourth Proportional to 12,713.65, 17,546.07 and 7,050.25

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Solution

The fourth proportional to 12,713.65, 17,546.07 and 7,050.25 is: 9,730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.65 : 17,546.07 = 7,050.25 : x
  2. Step 2: Convert to fraction form
    12,713.65/17,546.07 = 7,050.25/x
  3. Step 3: Cross multiply
    12,713.65x = 17,546.07 × 7,050.25
  4. Step 4: Simplify right side
    12,713.65x = 123,704,180.02
  5. Step 5: Solve for x
    x = 123,704,180.02/12,713.65
  6. Step 6: Final answer
    x = 9,730.03

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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.