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Finding the Fourth Proportional to 6,307.66, 9,459.78 and 2,409.94

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Solution

The fourth proportional to 6,307.66, 9,459.78 and 2,409.94 is: 3,614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.66 : 9,459.78 = 2,409.94 : x
  2. Step 2: Convert to fraction form
    6,307.66/9,459.78 = 2,409.94/x
  3. Step 3: Cross multiply
    6,307.66x = 9,459.78 × 2,409.94
  4. Step 4: Simplify right side
    6,307.66x = 22,797,502.21
  5. Step 5: Solve for x
    x = 22,797,502.21/6,307.66
  6. Step 6: Final answer
    x = 3,614.26

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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.