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Finding the Fourth Proportional to 6,538, 9,022.44 and 3,594

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Solution

The fourth proportional to 6,538, 9,022.44 and 3,594 is: 4,959.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538 : 9,022.44 = 3,594 : x
  2. Step 2: Convert to fraction form
    6,538/9,022.44 = 3,594/x
  3. Step 3: Cross multiply
    6,538x = 9,022.44 × 3,594
  4. Step 4: Simplify right side
    6,538x = 32,426,649.36
  5. Step 5: Solve for x
    x = 32,426,649.36/6,538
  6. Step 6: Final answer
    x = 4,959.72

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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.