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Finding the Fourth Proportional to 27,353, 37,728.40 and 16,747.87

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Solution

The fourth proportional to 27,353, 37,728.40 and 16,747.87 is: 23,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,353 : 37,728.40 = 16,747.87 : x
  2. Step 2: Convert to fraction form
    27,353/37,728.40 = 16,747.87/x
  3. Step 3: Cross multiply
    27,353x = 37,728.40 × 16,747.87
  4. Step 4: Simplify right side
    27,353x = 631,870,254.77
  5. Step 5: Solve for x
    x = 631,870,254.77/27,353
  6. Step 6: Final answer
    x = 23,100.58

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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.