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Finding the Fourth Proportional to 6,368.98, 9,541.04 and 4,171.04

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Solution

The fourth proportional to 6,368.98, 9,541.04 and 4,171.04 is: 6,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.98 : 9,541.04 = 4,171.04 : x
  2. Step 2: Convert to fraction form
    6,368.98/9,541.04 = 4,171.04/x
  3. Step 3: Cross multiply
    6,368.98x = 9,541.04 × 4,171.04
  4. Step 4: Simplify right side
    6,368.98x = 39,796,059.48
  5. Step 5: Solve for x
    x = 39,796,059.48/6,368.98
  6. Step 6: Final answer
    x = 6,248.42

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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.