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Finding the Fourth Proportional to 15,173.50, 20,929.14 and 9,858.82

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Solution

The fourth proportional to 15,173.50, 20,929.14 and 9,858.82 is: 13,598.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,173.50 : 20,929.14 = 9,858.82 : x
  2. Step 2: Convert to fraction form
    15,173.50/20,929.14 = 9,858.82/x
  3. Step 3: Cross multiply
    15,173.50x = 20,929.14 × 9,858.82
  4. Step 4: Simplify right side
    15,173.50x = 206,336,624.01
  5. Step 5: Solve for x
    x = 206,336,624.01/15,173.50
  6. Step 6: Final answer
    x = 13,598.49

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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.