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Finding the Fourth Proportional to 9,843.30, 14,759.49 and 7,071.29

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Solution

The fourth proportional to 9,843.30, 14,759.49 and 7,071.29 is: 10,603.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.30 : 14,759.49 = 7,071.29 : x
  2. Step 2: Convert to fraction form
    9,843.30/14,759.49 = 7,071.29/x
  3. Step 3: Cross multiply
    9,843.30x = 14,759.49 × 7,071.29
  4. Step 4: Simplify right side
    9,843.30x = 104,368,560.24
  5. Step 5: Solve for x
    x = 104,368,560.24/9,843.30
  6. Step 6: Final answer
    x = 10,603.01

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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.