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Finding the Fourth Proportional to 6,301, 8,697.54 and 3,817

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Solution

The fourth proportional to 6,301, 8,697.54 and 3,817 is: 5,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301 : 8,697.54 = 3,817 : x
  2. Step 2: Convert to fraction form
    6,301/8,697.54 = 3,817/x
  3. Step 3: Cross multiply
    6,301x = 8,697.54 × 3,817
  4. Step 4: Simplify right side
    6,301x = 33,198,510.18
  5. Step 5: Solve for x
    x = 33,198,510.18/6,301
  6. Step 6: Final answer
    x = 5,268.77

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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.