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Finding the Fourth Proportional to 16,657.30, 22,986.40 and 9,103.90

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Solution

The fourth proportional to 16,657.30, 22,986.40 and 9,103.90 is: 12,563.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.30 : 22,986.40 = 9,103.90 : x
  2. Step 2: Convert to fraction form
    16,657.30/22,986.40 = 9,103.90/x
  3. Step 3: Cross multiply
    16,657.30x = 22,986.40 × 9,103.90
  4. Step 4: Simplify right side
    16,657.30x = 209,265,886.96
  5. Step 5: Solve for x
    x = 209,265,886.96/16,657.30
  6. Step 6: Final answer
    x = 12,563.01

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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.