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Finding the Fourth Proportional to 5,662.64, 7,814.57 and 3,144.71

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Solution

The fourth proportional to 5,662.64, 7,814.57 and 3,144.71 is: 4,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.64 : 7,814.57 = 3,144.71 : x
  2. Step 2: Convert to fraction form
    5,662.64/7,814.57 = 3,144.71/x
  3. Step 3: Cross multiply
    5,662.64x = 7,814.57 × 3,144.71
  4. Step 4: Simplify right side
    5,662.64x = 24,574,501.63
  5. Step 5: Solve for x
    x = 24,574,501.63/5,662.64
  6. Step 6: Final answer
    x = 4,339.76

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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.