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Finding the Fourth Proportional to 8,923.28, 13,371.36 and 7,066.64

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Solution

The fourth proportional to 8,923.28, 13,371.36 and 7,066.64 is: 10,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.28 : 13,371.36 = 7,066.64 : x
  2. Step 2: Convert to fraction form
    8,923.28/13,371.36 = 7,066.64/x
  3. Step 3: Cross multiply
    8,923.28x = 13,371.36 × 7,066.64
  4. Step 4: Simplify right side
    8,923.28x = 94,490,587.43
  5. Step 5: Solve for x
    x = 94,490,587.43/8,923.28
  6. Step 6: Final answer
    x = 10,589.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.