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Finding the Fourth Proportional to 27,507, 37,960.26 and 16,752.37

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Solution

The fourth proportional to 27,507, 37,960.26 and 16,752.37 is: 23,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,507 : 37,960.26 = 16,752.37 : x
  2. Step 2: Convert to fraction form
    27,507/37,960.26 = 16,752.37/x
  3. Step 3: Cross multiply
    27,507x = 37,960.26 × 16,752.37
  4. Step 4: Simplify right side
    27,507x = 635,924,320.82
  5. Step 5: Solve for x
    x = 635,924,320.82/27,507
  6. Step 6: Final answer
    x = 23,118.64

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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.