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Finding the Fourth Proportional to 9,651.74, 14,463.03 and 7,174.94

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Solution

The fourth proportional to 9,651.74, 14,463.03 and 7,174.94 is: 10,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.74 : 14,463.03 = 7,174.94 : x
  2. Step 2: Convert to fraction form
    9,651.74/14,463.03 = 7,174.94/x
  3. Step 3: Cross multiply
    9,651.74x = 14,463.03 × 7,174.94
  4. Step 4: Simplify right side
    9,651.74x = 103,771,372.47
  5. Step 5: Solve for x
    x = 103,771,372.47/9,651.74
  6. Step 6: Final answer
    x = 10,751.57

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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.