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Finding the Fourth Proportional to 9,631.82, 13,283.02 and 7,393.79

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Solution

The fourth proportional to 9,631.82, 13,283.02 and 7,393.79 is: 10,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631.82 : 13,283.02 = 7,393.79 : x
  2. Step 2: Convert to fraction form
    9,631.82/13,283.02 = 7,393.79/x
  3. Step 3: Cross multiply
    9,631.82x = 13,283.02 × 7,393.79
  4. Step 4: Simplify right side
    9,631.82x = 98,211,860.45
  5. Step 5: Solve for x
    x = 98,211,860.45/9,631.82
  6. Step 6: Final answer
    x = 10,196.60

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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.