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Finding the Fourth Proportional to 4,713.77, 7,016.77 and 4,643.71

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Solution

The fourth proportional to 4,713.77, 7,016.77 and 4,643.71 is: 6,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.77 : 7,016.77 = 4,643.71 : x
  2. Step 2: Convert to fraction form
    4,713.77/7,016.77 = 4,643.71/x
  3. Step 3: Cross multiply
    4,713.77x = 7,016.77 × 4,643.71
  4. Step 4: Simplify right side
    4,713.77x = 32,583,809.93
  5. Step 5: Solve for x
    x = 32,583,809.93/4,713.77
  6. Step 6: Final answer
    x = 6,912.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.