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Finding the Fourth Proportional to 6,866.40, 9,475.58 and 3,722.58

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Solution

The fourth proportional to 6,866.40, 9,475.58 and 3,722.58 is: 5,137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.40 : 9,475.58 = 3,722.58 : x
  2. Step 2: Convert to fraction form
    6,866.40/9,475.58 = 3,722.58/x
  3. Step 3: Cross multiply
    6,866.40x = 9,475.58 × 3,722.58
  4. Step 4: Simplify right side
    6,866.40x = 35,273,604.60
  5. Step 5: Solve for x
    x = 35,273,604.60/6,866.40
  6. Step 6: Final answer
    x = 5,137.13

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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.