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Finding the Fourth Proportional to 6,471.07, 9,699.67 and 3,347.93

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Solution

The fourth proportional to 6,471.07, 9,699.67 and 3,347.93 is: 5,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.07 : 9,699.67 = 3,347.93 : x
  2. Step 2: Convert to fraction form
    6,471.07/9,699.67 = 3,347.93/x
  3. Step 3: Cross multiply
    6,471.07x = 9,699.67 × 3,347.93
  4. Step 4: Simplify right side
    6,471.07x = 32,473,750.95
  5. Step 5: Solve for x
    x = 32,473,750.95/6,471.07
  6. Step 6: Final answer
    x = 5,018.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.