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Finding the Fourth Proportional to 6,646.70, 9,971.13 and 2,263.70

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Solution

The fourth proportional to 6,646.70, 9,971.13 and 2,263.70 is: 3,395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.70 : 9,971.13 = 2,263.70 : x
  2. Step 2: Convert to fraction form
    6,646.70/9,971.13 = 2,263.70/x
  3. Step 3: Cross multiply
    6,646.70x = 9,971.13 × 2,263.70
  4. Step 4: Simplify right side
    6,646.70x = 22,571,646.98
  5. Step 5: Solve for x
    x = 22,571,646.98/6,646.70
  6. Step 6: Final answer
    x = 3,395.92

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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.