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Finding the Fourth Proportional to 16,347, 22,558.44 and 9,976.08

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Solution

The fourth proportional to 16,347, 22,558.44 and 9,976.08 is: 13,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347 : 22,558.44 = 9,976.08 : x
  2. Step 2: Convert to fraction form
    16,347/22,558.44 = 9,976.08/x
  3. Step 3: Cross multiply
    16,347x = 22,558.44 × 9,976.08
  4. Step 4: Simplify right side
    16,347x = 225,044,802.12
  5. Step 5: Solve for x
    x = 225,044,802.12/16,347
  6. Step 6: Final answer
    x = 13,766.73

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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.