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Finding the Fourth Proportional to 7,153.48, 9,861.72 and 6,169.24

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Solution

The fourth proportional to 7,153.48, 9,861.72 and 6,169.24 is: 8,504.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.48 : 9,861.72 = 6,169.24 : x
  2. Step 2: Convert to fraction form
    7,153.48/9,861.72 = 6,169.24/x
  3. Step 3: Cross multiply
    7,153.48x = 9,861.72 × 6,169.24
  4. Step 4: Simplify right side
    7,153.48x = 60,839,317.49
  5. Step 5: Solve for x
    x = 60,839,317.49/7,153.48
  6. Step 6: Final answer
    x = 8,504.86

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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.