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Finding the Fourth Proportional to 6,246.09, 9,369.09 and 1,566.09

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Solution

The fourth proportional to 6,246.09, 9,369.09 and 1,566.09 is: 2,349.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.09 : 9,369.09 = 1,566.09 : x
  2. Step 2: Convert to fraction form
    6,246.09/9,369.09 = 1,566.09/x
  3. Step 3: Cross multiply
    6,246.09x = 9,369.09 × 1,566.09
  4. Step 4: Simplify right side
    6,246.09x = 14,672,838.16
  5. Step 5: Solve for x
    x = 14,672,838.16/6,246.09
  6. Step 6: Final answer
    x = 2,349.12

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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.