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Finding the Fourth Proportional to 9,302.97, 13,939.88 and 7,910.58

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Solution

The fourth proportional to 9,302.97, 13,939.88 and 7,910.58 is: 11,853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.97 : 13,939.88 = 7,910.58 : x
  2. Step 2: Convert to fraction form
    9,302.97/13,939.88 = 7,910.58/x
  3. Step 3: Cross multiply
    9,302.97x = 13,939.88 × 7,910.58
  4. Step 4: Simplify right side
    9,302.97x = 110,272,548.65
  5. Step 5: Solve for x
    x = 110,272,548.65/9,302.97
  6. Step 6: Final answer
    x = 11,853.47

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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.