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Finding the Fourth Proportional to 13,567.88, 18,723.89 and 7,822.16

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Solution

The fourth proportional to 13,567.88, 18,723.89 and 7,822.16 is: 10,794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.88 : 18,723.89 = 7,822.16 : x
  2. Step 2: Convert to fraction form
    13,567.88/18,723.89 = 7,822.16/x
  3. Step 3: Cross multiply
    13,567.88x = 18,723.89 × 7,822.16
  4. Step 4: Simplify right side
    13,567.88x = 146,461,263.40
  5. Step 5: Solve for x
    x = 146,461,263.40/13,567.88
  6. Step 6: Final answer
    x = 10,794.71

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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.