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Finding the Fourth Proportional to 3,506.70, 4,967.85 and 3,506.70

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Solution

The fourth proportional to 3,506.70, 4,967.85 and 3,506.70 is: 4,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.70 : 4,967.85 = 3,506.70 : x
  2. Step 2: Convert to fraction form
    3,506.70/4,967.85 = 3,506.70/x
  3. Step 3: Cross multiply
    3,506.70x = 4,967.85 × 3,506.70
  4. Step 4: Simplify right side
    3,506.70x = 17,420,759.60
  5. Step 5: Solve for x
    x = 17,420,759.60/3,506.70
  6. Step 6: Final answer
    x = 4,967.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.