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Finding the Fourth Proportional to 7,637, 10,539.06 and 4,325

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Solution

The fourth proportional to 7,637, 10,539.06 and 4,325 is: 5,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637 : 10,539.06 = 4,325 : x
  2. Step 2: Convert to fraction form
    7,637/10,539.06 = 4,325/x
  3. Step 3: Cross multiply
    7,637x = 10,539.06 × 4,325
  4. Step 4: Simplify right side
    7,637x = 45,581,434.50
  5. Step 5: Solve for x
    x = 45,581,434.50/7,637
  6. Step 6: Final answer
    x = 5,968.50

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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.