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Finding the Fourth Proportional to 16,009.96, 22,090.97 and 9,294.08

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Solution

The fourth proportional to 16,009.96, 22,090.97 and 9,294.08 is: 12,824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.96 : 22,090.97 = 9,294.08 : x
  2. Step 2: Convert to fraction form
    16,009.96/22,090.97 = 9,294.08/x
  3. Step 3: Cross multiply
    16,009.96x = 22,090.97 × 9,294.08
  4. Step 4: Simplify right side
    16,009.96x = 205,315,242.46
  5. Step 5: Solve for x
    x = 205,315,242.46/16,009.96
  6. Step 6: Final answer
    x = 12,824.22

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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.