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Finding the Fourth Proportional to 6,472.94, 8,933.57 and 3,640.53

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Solution

The fourth proportional to 6,472.94, 8,933.57 and 3,640.53 is: 5,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.94 : 8,933.57 = 3,640.53 : x
  2. Step 2: Convert to fraction form
    6,472.94/8,933.57 = 3,640.53/x
  3. Step 3: Cross multiply
    6,472.94x = 8,933.57 × 3,640.53
  4. Step 4: Simplify right side
    6,472.94x = 32,522,911.39
  5. Step 5: Solve for x
    x = 32,522,911.39/6,472.94
  6. Step 6: Final answer
    x = 5,024.45

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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.