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Finding the Fourth Proportional to 9,394.65, 14,092.16 and 4,199.49

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Solution

The fourth proportional to 9,394.65, 14,092.16 and 4,199.49 is: 6,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.65 : 14,092.16 = 4,199.49 : x
  2. Step 2: Convert to fraction form
    9,394.65/14,092.16 = 4,199.49/x
  3. Step 3: Cross multiply
    9,394.65x = 14,092.16 × 4,199.49
  4. Step 4: Simplify right side
    9,394.65x = 59,179,864.00
  5. Step 5: Solve for x
    x = 59,179,864.00/9,394.65
  6. Step 6: Final answer
    x = 6,299.32

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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.