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Finding the Fourth Proportional to 9,784.92, 13,496.22 and 6,798.36

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Solution

The fourth proportional to 9,784.92, 13,496.22 and 6,798.36 is: 9,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.92 : 13,496.22 = 6,798.36 : x
  2. Step 2: Convert to fraction form
    9,784.92/13,496.22 = 6,798.36/x
  3. Step 3: Cross multiply
    9,784.92x = 13,496.22 × 6,798.36
  4. Step 4: Simplify right side
    9,784.92x = 91,752,162.20
  5. Step 5: Solve for x
    x = 91,752,162.20/9,784.92
  6. Step 6: Final answer
    x = 9,376.89

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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.