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Finding the Fourth Proportional to 13,202.90, 19,775.03 and 9,447.68

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Solution

The fourth proportional to 13,202.90, 19,775.03 and 9,447.68 is: 14,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.90 : 19,775.03 = 9,447.68 : x
  2. Step 2: Convert to fraction form
    13,202.90/19,775.03 = 9,447.68/x
  3. Step 3: Cross multiply
    13,202.90x = 19,775.03 × 9,447.68
  4. Step 4: Simplify right side
    13,202.90x = 186,828,108.19
  5. Step 5: Solve for x
    x = 186,828,108.19/13,202.90
  6. Step 6: Final answer
    x = 14,150.54

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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.