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Finding the Fourth Proportional to 7,137.32, 9,849.64 and 4,304.66

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Solution

The fourth proportional to 7,137.32, 9,849.64 and 4,304.66 is: 5,940.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.32 : 9,849.64 = 4,304.66 : x
  2. Step 2: Convert to fraction form
    7,137.32/9,849.64 = 4,304.66/x
  3. Step 3: Cross multiply
    7,137.32x = 9,849.64 × 4,304.66
  4. Step 4: Simplify right side
    7,137.32x = 42,399,351.32
  5. Step 5: Solve for x
    x = 42,399,351.32/7,137.32
  6. Step 6: Final answer
    x = 5,940.51

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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.