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Finding the Fourth Proportional to 13,202.76, 19,804.68 and 7,354.92

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Solution

The fourth proportional to 13,202.76, 19,804.68 and 7,354.92 is: 11,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.76 : 19,804.68 = 7,354.92 : x
  2. Step 2: Convert to fraction form
    13,202.76/19,804.68 = 7,354.92/x
  3. Step 3: Cross multiply
    13,202.76x = 19,804.68 × 7,354.92
  4. Step 4: Simplify right side
    13,202.76x = 145,661,837.03
  5. Step 5: Solve for x
    x = 145,661,837.03/13,202.76
  6. Step 6: Final answer
    x = 11,032.68

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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.