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Finding the Fourth Proportional to 7,095.70, 9,794.43 and 4,114.54

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Solution

The fourth proportional to 7,095.70, 9,794.43 and 4,114.54 is: 5,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.70 : 9,794.43 = 4,114.54 : x
  2. Step 2: Convert to fraction form
    7,095.70/9,794.43 = 4,114.54/x
  3. Step 3: Cross multiply
    7,095.70x = 9,794.43 × 4,114.54
  4. Step 4: Simplify right side
    7,095.70x = 40,299,574.01
  5. Step 5: Solve for x
    x = 40,299,574.01/7,095.70
  6. Step 6: Final answer
    x = 5,679.44

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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.