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Finding the Fourth Proportional to 7,141.71, 10,713.07 and 2,210.71

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Solution

The fourth proportional to 7,141.71, 10,713.07 and 2,210.71 is: 3,316.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.71 : 10,713.07 = 2,210.71 : x
  2. Step 2: Convert to fraction form
    7,141.71/10,713.07 = 2,210.71/x
  3. Step 3: Cross multiply
    7,141.71x = 10,713.07 × 2,210.71
  4. Step 4: Simplify right side
    7,141.71x = 23,683,490.98
  5. Step 5: Solve for x
    x = 23,683,490.98/7,141.71
  6. Step 6: Final answer
    x = 3,316.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.