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Finding the Fourth Proportional to 10,791.46, 14,883.68 and 7,064.74

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Solution

The fourth proportional to 10,791.46, 14,883.68 and 7,064.74 is: 9,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,791.46 : 14,883.68 = 7,064.74 : x
  2. Step 2: Convert to fraction form
    10,791.46/14,883.68 = 7,064.74/x
  3. Step 3: Cross multiply
    10,791.46x = 14,883.68 × 7,064.74
  4. Step 4: Simplify right side
    10,791.46x = 105,149,329.44
  5. Step 5: Solve for x
    x = 105,149,329.44/10,791.46
  6. Step 6: Final answer
    x = 9,743.75

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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.