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Finding the Fourth Proportional to 15,237, 21,026.49 and 8,523.25

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Solution

The fourth proportional to 15,237, 21,026.49 and 8,523.25 is: 11,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,237 : 21,026.49 = 8,523.25 : x
  2. Step 2: Convert to fraction form
    15,237/21,026.49 = 8,523.25/x
  3. Step 3: Cross multiply
    15,237x = 21,026.49 × 8,523.25
  4. Step 4: Simplify right side
    15,237x = 179,213,946.36
  5. Step 5: Solve for x
    x = 179,213,946.36/15,237
  6. Step 6: Final answer
    x = 11,761.76

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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.