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Finding the Fourth Proportional to 12,842.60, 19,245.90 and 10,214.60

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Solution

The fourth proportional to 12,842.60, 19,245.90 and 10,214.60 is: 15,307.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.60 : 19,245.90 = 10,214.60 : x
  2. Step 2: Convert to fraction form
    12,842.60/19,245.90 = 10,214.60/x
  3. Step 3: Cross multiply
    12,842.60x = 19,245.90 × 10,214.60
  4. Step 4: Simplify right side
    12,842.60x = 196,589,170.14
  5. Step 5: Solve for x
    x = 196,589,170.14/12,842.60
  6. Step 6: Final answer
    x = 15,307.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.