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Finding the Fourth Proportional to 6,943.64, 10,463.76 and 6,285.71

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Solution

The fourth proportional to 6,943.64, 10,463.76 and 6,285.71 is: 9,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.64 : 10,463.76 = 6,285.71 : x
  2. Step 2: Convert to fraction form
    6,943.64/10,463.76 = 6,285.71/x
  3. Step 3: Cross multiply
    6,943.64x = 10,463.76 × 6,285.71
  4. Step 4: Simplify right side
    6,943.64x = 65,772,163.46
  5. Step 5: Solve for x
    x = 65,772,163.46/6,943.64
  6. Step 6: Final answer
    x = 9,472.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.