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Finding the Fourth Proportional to 6,505.70, 8,979.28 and 4,114.16

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Solution

The fourth proportional to 6,505.70, 8,979.28 and 4,114.16 is: 5,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.70 : 8,979.28 = 4,114.16 : x
  2. Step 2: Convert to fraction form
    6,505.70/8,979.28 = 4,114.16/x
  3. Step 3: Cross multiply
    6,505.70x = 8,979.28 × 4,114.16
  4. Step 4: Simplify right side
    6,505.70x = 36,942,194.60
  5. Step 5: Solve for x
    x = 36,942,194.60/6,505.70
  6. Step 6: Final answer
    x = 5,678.44

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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.