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Finding the Fourth Proportional to 13,597.73, 20,353.82 and 9,356.16

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Solution

The fourth proportional to 13,597.73, 20,353.82 and 9,356.16 is: 14,004.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.73 : 20,353.82 = 9,356.16 : x
  2. Step 2: Convert to fraction form
    13,597.73/20,353.82 = 9,356.16/x
  3. Step 3: Cross multiply
    13,597.73x = 20,353.82 × 9,356.16
  4. Step 4: Simplify right side
    13,597.73x = 190,433,549.75
  5. Step 5: Solve for x
    x = 190,433,549.75/13,597.73
  6. Step 6: Final answer
    x = 14,004.81

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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.