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Finding the Fourth Proportional to 6,495.64, 9,744.90 and 3,031

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Solution

The fourth proportional to 6,495.64, 9,744.90 and 3,031 is: 4,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.64 : 9,744.90 = 3,031 : x
  2. Step 2: Convert to fraction form
    6,495.64/9,744.90 = 3,031/x
  3. Step 3: Cross multiply
    6,495.64x = 9,744.90 × 3,031
  4. Step 4: Simplify right side
    6,495.64x = 29,536,791.90
  5. Step 5: Solve for x
    x = 29,536,791.90/6,495.64
  6. Step 6: Final answer
    x = 4,547.17

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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.