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Finding the Fourth Proportional to 16,810.94, 23,199 and 9,737.22

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Solution

The fourth proportional to 16,810.94, 23,199 and 9,737.22 is: 13,437.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,810.94 : 23,199 = 9,737.22 : x
  2. Step 2: Convert to fraction form
    16,810.94/23,199 = 9,737.22/x
  3. Step 3: Cross multiply
    16,810.94x = 23,199 × 9,737.22
  4. Step 4: Simplify right side
    16,810.94x = 225,893,766.78
  5. Step 5: Solve for x
    x = 225,893,766.78/16,810.94
  6. Step 6: Final answer
    x = 13,437.31

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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.