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Finding the Fourth Proportional to 6,784.92, 9,363.06 and 4,422.60

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Solution

The fourth proportional to 6,784.92, 9,363.06 and 4,422.60 is: 6,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.92 : 9,363.06 = 4,422.60 : x
  2. Step 2: Convert to fraction form
    6,784.92/9,363.06 = 4,422.60/x
  3. Step 3: Cross multiply
    6,784.92x = 9,363.06 × 4,422.60
  4. Step 4: Simplify right side
    6,784.92x = 41,409,069.16
  5. Step 5: Solve for x
    x = 41,409,069.16/6,784.92
  6. Step 6: Final answer
    x = 6,103.10

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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.