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Finding the Fourth Proportional to 9,996.28, 13,795.03 and 6,465.64

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Solution

The fourth proportional to 9,996.28, 13,795.03 and 6,465.64 is: 8,922.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.28 : 13,795.03 = 6,465.64 : x
  2. Step 2: Convert to fraction form
    9,996.28/13,795.03 = 6,465.64/x
  3. Step 3: Cross multiply
    9,996.28x = 13,795.03 × 6,465.64
  4. Step 4: Simplify right side
    9,996.28x = 89,193,628.79
  5. Step 5: Solve for x
    x = 89,193,628.79/9,996.28
  6. Step 6: Final answer
    x = 8,922.69

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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.