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Finding the Fourth Proportional to 11,652.82, 17,389.66 and 10,407.22

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Solution

The fourth proportional to 11,652.82, 17,389.66 and 10,407.22 is: 15,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.82 : 17,389.66 = 10,407.22 : x
  2. Step 2: Convert to fraction form
    11,652.82/17,389.66 = 10,407.22/x
  3. Step 3: Cross multiply
    11,652.82x = 17,389.66 × 10,407.22
  4. Step 4: Simplify right side
    11,652.82x = 180,978,017.35
  5. Step 5: Solve for x
    x = 180,978,017.35/11,652.82
  6. Step 6: Final answer
    x = 15,530.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.