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Finding the Fourth Proportional to 12,544.88, 17,311.46 and 7,509.65

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Solution

The fourth proportional to 12,544.88, 17,311.46 and 7,509.65 is: 10,363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,544.88 : 17,311.46 = 7,509.65 : x
  2. Step 2: Convert to fraction form
    12,544.88/17,311.46 = 7,509.65/x
  3. Step 3: Cross multiply
    12,544.88x = 17,311.46 × 7,509.65
  4. Step 4: Simplify right side
    12,544.88x = 130,002,881.48
  5. Step 5: Solve for x
    x = 130,002,881.48/12,544.88
  6. Step 6: Final answer
    x = 10,363.03

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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.