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Finding the Fourth Proportional to 5,951.48, 8,194.32 and 5,053.32

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Solution

The fourth proportional to 5,951.48, 8,194.32 and 5,053.32 is: 6,957.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.48 : 8,194.32 = 5,053.32 : x
  2. Step 2: Convert to fraction form
    5,951.48/8,194.32 = 5,053.32/x
  3. Step 3: Cross multiply
    5,951.48x = 8,194.32 × 5,053.32
  4. Step 4: Simplify right side
    5,951.48x = 41,408,521.14
  5. Step 5: Solve for x
    x = 41,408,521.14/5,951.48
  6. Step 6: Final answer
    x = 6,957.69

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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.