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Finding the Fourth Proportional to 6,476.18, 9,712.23 and 4,296.50

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Solution

The fourth proportional to 6,476.18, 9,712.23 and 4,296.50 is: 6,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.18 : 9,712.23 = 4,296.50 : x
  2. Step 2: Convert to fraction form
    6,476.18/9,712.23 = 4,296.50/x
  3. Step 3: Cross multiply
    6,476.18x = 9,712.23 × 4,296.50
  4. Step 4: Simplify right side
    6,476.18x = 41,728,596.20
  5. Step 5: Solve for x
    x = 41,728,596.20/6,476.18
  6. Step 6: Final answer
    x = 6,443.40

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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.