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Finding the Fourth Proportional to 7,093.82, 9,786.54 and 4,575.38

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Solution

The fourth proportional to 7,093.82, 9,786.54 and 4,575.38 is: 6,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.82 : 9,786.54 = 4,575.38 : x
  2. Step 2: Convert to fraction form
    7,093.82/9,786.54 = 4,575.38/x
  3. Step 3: Cross multiply
    7,093.82x = 9,786.54 × 4,575.38
  4. Step 4: Simplify right side
    7,093.82x = 44,777,139.39
  5. Step 5: Solve for x
    x = 44,777,139.39/7,093.82
  6. Step 6: Final answer
    x = 6,312.13

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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.