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Finding the Fourth Proportional to 11,493.16, 17,239.80 and 6,296.20

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Solution

The fourth proportional to 11,493.16, 17,239.80 and 6,296.20 is: 9,444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.16 : 17,239.80 = 6,296.20 : x
  2. Step 2: Convert to fraction form
    11,493.16/17,239.80 = 6,296.20/x
  3. Step 3: Cross multiply
    11,493.16x = 17,239.80 × 6,296.20
  4. Step 4: Simplify right side
    11,493.16x = 108,545,228.76
  5. Step 5: Solve for x
    x = 108,545,228.76/11,493.16
  6. Step 6: Final answer
    x = 9,444.33

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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.