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Finding the Fourth Proportional to 5,206.71, 7,186.16 and 5,033.71

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Solution

The fourth proportional to 5,206.71, 7,186.16 and 5,033.71 is: 6,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.71 : 7,186.16 = 5,033.71 : x
  2. Step 2: Convert to fraction form
    5,206.71/7,186.16 = 5,033.71/x
  3. Step 3: Cross multiply
    5,206.71x = 7,186.16 × 5,033.71
  4. Step 4: Simplify right side
    5,206.71x = 36,173,045.45
  5. Step 5: Solve for x
    x = 36,173,045.45/5,206.71
  6. Step 6: Final answer
    x = 6,947.39

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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.