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Finding the Fourth Proportional to 3,307.47, 4,961.67 and 967.65

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Solution

The fourth proportional to 3,307.47, 4,961.67 and 967.65 is: 1,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.47 : 4,961.67 = 967.65 : x
  2. Step 2: Convert to fraction form
    3,307.47/4,961.67 = 967.65/x
  3. Step 3: Cross multiply
    3,307.47x = 4,961.67 × 967.65
  4. Step 4: Simplify right side
    3,307.47x = 4,801,159.98
  5. Step 5: Solve for x
    x = 4,801,159.98/3,307.47
  6. Step 6: Final answer
    x = 1,451.61

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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.