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Finding the Fourth Proportional to 7,453, 10,282.52 and 4,469.80

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Solution

The fourth proportional to 7,453, 10,282.52 and 4,469.80 is: 6,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453 : 10,282.52 = 4,469.80 : x
  2. Step 2: Convert to fraction form
    7,453/10,282.52 = 4,469.80/x
  3. Step 3: Cross multiply
    7,453x = 10,282.52 × 4,469.80
  4. Step 4: Simplify right side
    7,453x = 45,960,807.90
  5. Step 5: Solve for x
    x = 45,960,807.90/7,453
  6. Step 6: Final answer
    x = 6,166.75

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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.