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Finding the Fourth Proportional to 5,414.85, 7,416.41 and 5,095.63

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Solution

The fourth proportional to 5,414.85, 7,416.41 and 5,095.63 is: 6,979.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.85 : 7,416.41 = 5,095.63 : x
  2. Step 2: Convert to fraction form
    5,414.85/7,416.41 = 5,095.63/x
  3. Step 3: Cross multiply
    5,414.85x = 7,416.41 × 5,095.63
  4. Step 4: Simplify right side
    5,414.85x = 37,791,283.79
  5. Step 5: Solve for x
    x = 37,791,283.79/5,414.85
  6. Step 6: Final answer
    x = 6,979.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.