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Finding the Fourth Proportional to 13,207.50, 19,804.98 and 7,662.54

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Solution

The fourth proportional to 13,207.50, 19,804.98 and 7,662.54 is: 11,490.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.50 : 19,804.98 = 7,662.54 : x
  2. Step 2: Convert to fraction form
    13,207.50/19,804.98 = 7,662.54/x
  3. Step 3: Cross multiply
    13,207.50x = 19,804.98 × 7,662.54
  4. Step 4: Simplify right side
    13,207.50x = 151,756,472.72
  5. Step 5: Solve for x
    x = 151,756,472.72/13,207.50
  6. Step 6: Final answer
    x = 11,490.18

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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.