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Finding the Fourth Proportional to 16,602.87, 22,911.06 and 9,528.82

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Solution

The fourth proportional to 16,602.87, 22,911.06 and 9,528.82 is: 13,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,602.87 : 22,911.06 = 9,528.82 : x
  2. Step 2: Convert to fraction form
    16,602.87/22,911.06 = 9,528.82/x
  3. Step 3: Cross multiply
    16,602.87x = 22,911.06 × 9,528.82
  4. Step 4: Simplify right side
    16,602.87x = 218,315,366.75
  5. Step 5: Solve for x
    x = 218,315,366.75/16,602.87
  6. Step 6: Final answer
    x = 13,149.25

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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.