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Finding the Fourth Proportional to 7,451.40, 10,274.50 and 4,759

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Solution

The fourth proportional to 7,451.40, 10,274.50 and 4,759 is: 6,562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,451.40 : 10,274.50 = 4,759 : x
  2. Step 2: Convert to fraction form
    7,451.40/10,274.50 = 4,759/x
  3. Step 3: Cross multiply
    7,451.40x = 10,274.50 × 4,759
  4. Step 4: Simplify right side
    7,451.40x = 48,896,345.50
  5. Step 5: Solve for x
    x = 48,896,345.50/7,451.40
  6. Step 6: Final answer
    x = 6,562.03

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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.