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Finding the Fourth Proportional to 5,942.54, 8,913 and 3,473.66

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Solution

The fourth proportional to 5,942.54, 8,913 and 3,473.66 is: 5,210.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.54 : 8,913 = 3,473.66 : x
  2. Step 2: Convert to fraction form
    5,942.54/8,913 = 3,473.66/x
  3. Step 3: Cross multiply
    5,942.54x = 8,913 × 3,473.66
  4. Step 4: Simplify right side
    5,942.54x = 30,960,731.58
  5. Step 5: Solve for x
    x = 30,960,731.58/5,942.54
  6. Step 6: Final answer
    x = 5,210.02

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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.