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Finding the Fourth Proportional to 16,657.94, 22,990.02 and 9,584.30

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Solution

The fourth proportional to 16,657.94, 22,990.02 and 9,584.30 is: 13,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657.94 : 22,990.02 = 9,584.30 : x
  2. Step 2: Convert to fraction form
    16,657.94/22,990.02 = 9,584.30/x
  3. Step 3: Cross multiply
    16,657.94x = 22,990.02 × 9,584.30
  4. Step 4: Simplify right side
    16,657.94x = 220,343,248.69
  5. Step 5: Solve for x
    x = 220,343,248.69/16,657.94
  6. Step 6: Final answer
    x = 13,227.52

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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.