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Finding the Fourth Proportional to 11,615.93, 16,024.82 and 6,897.47

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Solution

The fourth proportional to 11,615.93, 16,024.82 and 6,897.47 is: 9,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.93 : 16,024.82 = 6,897.47 : x
  2. Step 2: Convert to fraction form
    11,615.93/16,024.82 = 6,897.47/x
  3. Step 3: Cross multiply
    11,615.93x = 16,024.82 × 6,897.47
  4. Step 4: Simplify right side
    11,615.93x = 110,530,600.59
  5. Step 5: Solve for x
    x = 110,530,600.59/11,615.93
  6. Step 6: Final answer
    x = 9,515.44

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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.