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Finding the Fourth Proportional to 9,228.71, 13,822.18 and 7,567.94

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Solution

The fourth proportional to 9,228.71, 13,822.18 and 7,567.94 is: 11,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.71 : 13,822.18 = 7,567.94 : x
  2. Step 2: Convert to fraction form
    9,228.71/13,822.18 = 7,567.94/x
  3. Step 3: Cross multiply
    9,228.71x = 13,822.18 × 7,567.94
  4. Step 4: Simplify right side
    9,228.71x = 104,605,428.91
  5. Step 5: Solve for x
    x = 104,605,428.91/9,228.71
  6. Step 6: Final answer
    x = 11,334.78

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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.