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Finding the Fourth Proportional to 6,309, 8,643.37 and 6,072.53

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Solution

The fourth proportional to 6,309, 8,643.37 and 6,072.53 is: 8,319.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309 : 8,643.37 = 6,072.53 : x
  2. Step 2: Convert to fraction form
    6,309/8,643.37 = 6,072.53/x
  3. Step 3: Cross multiply
    6,309x = 8,643.37 × 6,072.53
  4. Step 4: Simplify right side
    6,309x = 52,487,123.63
  5. Step 5: Solve for x
    x = 52,487,123.63/6,309
  6. Step 6: Final answer
    x = 8,319.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.