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Finding the Fourth Proportional to 11,897.55, 16,404.75 and 9,652.41

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Solution

The fourth proportional to 11,897.55, 16,404.75 and 9,652.41 is: 13,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.55 : 16,404.75 = 9,652.41 : x
  2. Step 2: Convert to fraction form
    11,897.55/16,404.75 = 9,652.41/x
  3. Step 3: Cross multiply
    11,897.55x = 16,404.75 × 9,652.41
  4. Step 4: Simplify right side
    11,897.55x = 158,345,372.95
  5. Step 5: Solve for x
    x = 158,345,372.95/11,897.55
  6. Step 6: Final answer
    x = 13,309.07

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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.