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Finding the Fourth Proportional to 6,405.69, 9,607.32 and 2,710.50

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Solution

The fourth proportional to 6,405.69, 9,607.32 and 2,710.50 is: 4,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.69 : 9,607.32 = 2,710.50 : x
  2. Step 2: Convert to fraction form
    6,405.69/9,607.32 = 2,710.50/x
  3. Step 3: Cross multiply
    6,405.69x = 9,607.32 × 2,710.50
  4. Step 4: Simplify right side
    6,405.69x = 26,040,640.86
  5. Step 5: Solve for x
    x = 26,040,640.86/6,405.69
  6. Step 6: Final answer
    x = 4,065.24

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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.