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Finding the Fourth Proportional to 15,094.23, 20,842.47 and 9,798.09

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Solution

The fourth proportional to 15,094.23, 20,842.47 and 9,798.09 is: 13,529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,094.23 : 20,842.47 = 9,798.09 : x
  2. Step 2: Convert to fraction form
    15,094.23/20,842.47 = 9,798.09/x
  3. Step 3: Cross multiply
    15,094.23x = 20,842.47 × 9,798.09
  4. Step 4: Simplify right side
    15,094.23x = 204,216,396.88
  5. Step 5: Solve for x
    x = 204,216,396.88/15,094.23
  6. Step 6: Final answer
    x = 13,529.43

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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.