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Finding the Fourth Proportional to 6,364.84, 8,783.52 and 3,532.22

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Solution

The fourth proportional to 6,364.84, 8,783.52 and 3,532.22 is: 4,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.84 : 8,783.52 = 3,532.22 : x
  2. Step 2: Convert to fraction form
    6,364.84/8,783.52 = 3,532.22/x
  3. Step 3: Cross multiply
    6,364.84x = 8,783.52 × 3,532.22
  4. Step 4: Simplify right side
    6,364.84x = 31,025,325.01
  5. Step 5: Solve for x
    x = 31,025,325.01/6,364.84
  6. Step 6: Final answer
    x = 4,874.49

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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.