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Finding the Fourth Proportional to 11,597.78, 17,398.02 and 4,205.72

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Solution

The fourth proportional to 11,597.78, 17,398.02 and 4,205.72 is: 6,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.78 : 17,398.02 = 4,205.72 : x
  2. Step 2: Convert to fraction form
    11,597.78/17,398.02 = 4,205.72/x
  3. Step 3: Cross multiply
    11,597.78x = 17,398.02 × 4,205.72
  4. Step 4: Simplify right side
    11,597.78x = 73,171,200.67
  5. Step 5: Solve for x
    x = 73,171,200.67/11,597.78
  6. Step 6: Final answer
    x = 6,309.07

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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.