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Finding the Fourth Proportional to 6,563.49, 9,848.16 and 3,442.77

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Solution

The fourth proportional to 6,563.49, 9,848.16 and 3,442.77 is: 5,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.49 : 9,848.16 = 3,442.77 : x
  2. Step 2: Convert to fraction form
    6,563.49/9,848.16 = 3,442.77/x
  3. Step 3: Cross multiply
    6,563.49x = 9,848.16 × 3,442.77
  4. Step 4: Simplify right side
    6,563.49x = 33,904,949.80
  5. Step 5: Solve for x
    x = 33,904,949.80/6,563.49
  6. Step 6: Final answer
    x = 5,165.69

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1.5x scale

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.