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Finding the Fourth Proportional to 11,544.57, 17,300.13 and 6,275.13

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Solution

The fourth proportional to 11,544.57, 17,300.13 and 6,275.13 is: 9,403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.57 : 17,300.13 = 6,275.13 : x
  2. Step 2: Convert to fraction form
    11,544.57/17,300.13 = 6,275.13/x
  3. Step 3: Cross multiply
    11,544.57x = 17,300.13 × 6,275.13
  4. Step 4: Simplify right side
    11,544.57x = 108,560,564.77
  5. Step 5: Solve for x
    x = 108,560,564.77/11,544.57
  6. Step 6: Final answer
    x = 9,403.60

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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.