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Finding the Fourth Proportional to 15,808.82, 21,826.77 and 9,842.90

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Solution

The fourth proportional to 15,808.82, 21,826.77 and 9,842.90 is: 13,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,808.82 : 21,826.77 = 9,842.90 : x
  2. Step 2: Convert to fraction form
    15,808.82/21,826.77 = 9,842.90/x
  3. Step 3: Cross multiply
    15,808.82x = 21,826.77 × 9,842.90
  4. Step 4: Simplify right side
    15,808.82x = 214,838,714.43
  5. Step 5: Solve for x
    x = 214,838,714.43/15,808.82
  6. Step 6: Final answer
    x = 13,589.80

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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.