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Finding the Fourth Proportional to 27,355, 37,740.47 and 16,603.26

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Solution

The fourth proportional to 27,355, 37,740.47 and 16,603.26 is: 22,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,355 : 37,740.47 = 16,603.26 : x
  2. Step 2: Convert to fraction form
    27,355/37,740.47 = 16,603.26/x
  3. Step 3: Cross multiply
    27,355x = 37,740.47 × 16,603.26
  4. Step 4: Simplify right side
    27,355x = 626,614,835.93
  5. Step 5: Solve for x
    x = 626,614,835.93/27,355
  6. Step 6: Final answer
    x = 22,906.78

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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.