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Finding the Fourth Proportional to 6,364.53, 8,783.13 and 3,846.28

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Solution

The fourth proportional to 6,364.53, 8,783.13 and 3,846.28 is: 5,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.53 : 8,783.13 = 3,846.28 : x
  2. Step 2: Convert to fraction form
    6,364.53/8,783.13 = 3,846.28/x
  3. Step 3: Cross multiply
    6,364.53x = 8,783.13 × 3,846.28
  4. Step 4: Simplify right side
    6,364.53x = 33,782,377.26
  5. Step 5: Solve for x
    x = 33,782,377.26/6,364.53
  6. Step 6: Final answer
    x = 5,307.91

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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.