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Finding the Fourth Proportional to 9,066, 12,511.41 and 5,288.58

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Solution

The fourth proportional to 9,066, 12,511.41 and 5,288.58 is: 7,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,066 : 12,511.41 = 5,288.58 : x
  2. Step 2: Convert to fraction form
    9,066/12,511.41 = 5,288.58/x
  3. Step 3: Cross multiply
    9,066x = 12,511.41 × 5,288.58
  4. Step 4: Simplify right side
    9,066x = 66,167,592.70
  5. Step 5: Solve for x
    x = 66,167,592.70/9,066
  6. Step 6: Final answer
    x = 7,298.43

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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.