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Finding the Fourth Proportional to 9,854.28, 13,602.96 and 7,961.28

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Solution

The fourth proportional to 9,854.28, 13,602.96 and 7,961.28 is: 10,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.28 : 13,602.96 = 7,961.28 : x
  2. Step 2: Convert to fraction form
    9,854.28/13,602.96 = 7,961.28/x
  3. Step 3: Cross multiply
    9,854.28x = 13,602.96 × 7,961.28
  4. Step 4: Simplify right side
    9,854.28x = 108,296,973.39
  5. Step 5: Solve for x
    x = 108,296,973.39/9,854.28
  6. Step 6: Final answer
    x = 10,989.84

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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.