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Finding the Fourth Proportional to 7,176.66, 10,694.52 and 6,941.76

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Solution

The fourth proportional to 7,176.66, 10,694.52 and 6,941.76 is: 10,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.66 : 10,694.52 = 6,941.76 : x
  2. Step 2: Convert to fraction form
    7,176.66/10,694.52 = 6,941.76/x
  3. Step 3: Cross multiply
    7,176.66x = 10,694.52 × 6,941.76
  4. Step 4: Simplify right side
    7,176.66x = 74,238,791.16
  5. Step 5: Solve for x
    x = 74,238,791.16/7,176.66
  6. Step 6: Final answer
    x = 10,344.48

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1.5x scale

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.