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Finding the Fourth Proportional to 9,997.88, 13,797.09 and 6,019.16

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Solution

The fourth proportional to 9,997.88, 13,797.09 and 6,019.16 is: 8,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.88 : 13,797.09 = 6,019.16 : x
  2. Step 2: Convert to fraction form
    9,997.88/13,797.09 = 6,019.16/x
  3. Step 3: Cross multiply
    9,997.88x = 13,797.09 × 6,019.16
  4. Step 4: Simplify right side
    9,997.88x = 83,046,823.26
  5. Step 5: Solve for x
    x = 83,046,823.26/9,997.88
  6. Step 6: Final answer
    x = 8,306.45

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Half scale
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Double scale
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Similar ratio
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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.