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Finding the Fourth Proportional to 15,387, 21,234.06 and 9,801.24

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Solution

The fourth proportional to 15,387, 21,234.06 and 9,801.24 is: 13,525.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,387 : 21,234.06 = 9,801.24 : x
  2. Step 2: Convert to fraction form
    15,387/21,234.06 = 9,801.24/x
  3. Step 3: Cross multiply
    15,387x = 21,234.06 × 9,801.24
  4. Step 4: Simplify right side
    15,387x = 208,120,118.23
  5. Step 5: Solve for x
    x = 208,120,118.23/15,387
  6. Step 6: Final answer
    x = 13,525.71

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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.