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Finding the Fourth Proportional to 9,214.69, 12,712.33 and 6,022.44

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Solution

The fourth proportional to 9,214.69, 12,712.33 and 6,022.44 is: 8,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.69 : 12,712.33 = 6,022.44 : x
  2. Step 2: Convert to fraction form
    9,214.69/12,712.33 = 6,022.44/x
  3. Step 3: Cross multiply
    9,214.69x = 12,712.33 × 6,022.44
  4. Step 4: Simplify right side
    9,214.69x = 76,559,254.09
  5. Step 5: Solve for x
    x = 76,559,254.09/9,214.69
  6. Step 6: Final answer
    x = 8,308.39

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Half scale
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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.