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Finding the Fourth Proportional to 7,049.91, 9,706.74 and 5,985.47

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Solution

The fourth proportional to 7,049.91, 9,706.74 and 5,985.47 is: 8,241.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.91 : 9,706.74 = 5,985.47 : x
  2. Step 2: Convert to fraction form
    7,049.91/9,706.74 = 5,985.47/x
  3. Step 3: Cross multiply
    7,049.91x = 9,706.74 × 5,985.47
  4. Step 4: Simplify right side
    7,049.91x = 58,099,352.53
  5. Step 5: Solve for x
    x = 58,099,352.53/7,049.91
  6. Step 6: Final answer
    x = 8,241.15

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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.