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Finding the Fourth Proportional to 16,649.49, 22,975.29 and 9,575.94

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Solution

The fourth proportional to 16,649.49, 22,975.29 and 9,575.94 is: 13,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,649.49 : 22,975.29 = 9,575.94 : x
  2. Step 2: Convert to fraction form
    16,649.49/22,975.29 = 9,575.94/x
  3. Step 3: Cross multiply
    16,649.49x = 22,975.29 × 9,575.94
  4. Step 4: Simplify right side
    16,649.49x = 220,009,998.52
  5. Step 5: Solve for x
    x = 220,009,998.52/16,649.49
  6. Step 6: Final answer
    x = 13,214.22

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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.