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Finding the Fourth Proportional to 6,658.94, 9,193.02 and 4,007

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Solution

The fourth proportional to 6,658.94, 9,193.02 and 4,007 is: 5,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.94 : 9,193.02 = 4,007 : x
  2. Step 2: Convert to fraction form
    6,658.94/9,193.02 = 4,007/x
  3. Step 3: Cross multiply
    6,658.94x = 9,193.02 × 4,007
  4. Step 4: Simplify right side
    6,658.94x = 36,836,431.14
  5. Step 5: Solve for x
    x = 36,836,431.14/6,658.94
  6. Step 6: Final answer
    x = 5,531.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.