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Finding the Fourth Proportional to 9,221.77, 13,835.22 and 4,543.14

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Solution

The fourth proportional to 9,221.77, 13,835.22 and 4,543.14 is: 6,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.77 : 13,835.22 = 4,543.14 : x
  2. Step 2: Convert to fraction form
    9,221.77/13,835.22 = 4,543.14/x
  3. Step 3: Cross multiply
    9,221.77x = 13,835.22 × 4,543.14
  4. Step 4: Simplify right side
    9,221.77x = 62,855,341.39
  5. Step 5: Solve for x
    x = 62,855,341.39/9,221.77
  6. Step 6: Final answer
    x = 6,815.97

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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.