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Finding the Fourth Proportional to 16,657.97, 22,987.29 and 9,856.40

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Solution

The fourth proportional to 16,657.97, 22,987.29 and 9,856.40 is: 13,601.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.97 : 22,987.29 = 9,856.40 : x
  2. Step 2: Convert to fraction form
    16,657.97/22,987.29 = 9,856.40/x
  3. Step 3: Cross multiply
    16,657.97x = 22,987.29 × 9,856.40
  4. Step 4: Simplify right side
    16,657.97x = 226,571,810.22
  5. Step 5: Solve for x
    x = 226,571,810.22/16,657.97
  6. Step 6: Final answer
    x = 13,601.41

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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.