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Finding the Fourth Proportional to 6,162.36, 9,242.82 and 1,545

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Solution

The fourth proportional to 6,162.36, 9,242.82 and 1,545 is: 2,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.36 : 9,242.82 = 1,545 : x
  2. Step 2: Convert to fraction form
    6,162.36/9,242.82 = 1,545/x
  3. Step 3: Cross multiply
    6,162.36x = 9,242.82 × 1,545
  4. Step 4: Simplify right side
    6,162.36x = 14,280,156.90
  5. Step 5: Solve for x
    x = 14,280,156.90/6,162.36
  6. Step 6: Final answer
    x = 2,317.32

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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.