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Finding the Fourth Proportional to 13,567.96, 18,724.14 and 7,599.60

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Solution

The fourth proportional to 13,567.96, 18,724.14 and 7,599.60 is: 10,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,567.96 : 18,724.14 = 7,599.60 : x
  2. Step 2: Convert to fraction form
    13,567.96/18,724.14 = 7,599.60/x
  3. Step 3: Cross multiply
    13,567.96x = 18,724.14 × 7,599.60
  4. Step 4: Simplify right side
    13,567.96x = 142,295,974.34
  5. Step 5: Solve for x
    x = 142,295,974.34/13,567.96
  6. Step 6: Final answer
    x = 10,487.65

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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.