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Finding the Fourth Proportional to 11,023.70, 15,214.03 and 6,307.88

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Solution

The fourth proportional to 11,023.70, 15,214.03 and 6,307.88 is: 8,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.70 : 15,214.03 = 6,307.88 : x
  2. Step 2: Convert to fraction form
    11,023.70/15,214.03 = 6,307.88/x
  3. Step 3: Cross multiply
    11,023.70x = 15,214.03 × 6,307.88
  4. Step 4: Simplify right side
    11,023.70x = 95,968,183.72
  5. Step 5: Solve for x
    x = 95,968,183.72/11,023.70
  6. Step 6: Final answer
    x = 8,705.63

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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.