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Finding the Fourth Proportional to 6,506.53, 8,976.81 and 4,236.84

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Solution

The fourth proportional to 6,506.53, 8,976.81 and 4,236.84 is: 5,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.53 : 8,976.81 = 4,236.84 : x
  2. Step 2: Convert to fraction form
    6,506.53/8,976.81 = 4,236.84/x
  3. Step 3: Cross multiply
    6,506.53x = 8,976.81 × 4,236.84
  4. Step 4: Simplify right side
    6,506.53x = 38,033,323.57
  5. Step 5: Solve for x
    x = 38,033,323.57/6,506.53
  6. Step 6: Final answer
    x = 5,845.41

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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.