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Finding the Fourth Proportional to 13,301.40, 19,908.90 and 9,413.40

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Solution

The fourth proportional to 13,301.40, 19,908.90 and 9,413.40 is: 14,089.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,301.40 : 19,908.90 = 9,413.40 : x
  2. Step 2: Convert to fraction form
    13,301.40/19,908.90 = 9,413.40/x
  3. Step 3: Cross multiply
    13,301.40x = 19,908.90 × 9,413.40
  4. Step 4: Simplify right side
    13,301.40x = 187,410,439.26
  5. Step 5: Solve for x
    x = 187,410,439.26/13,301.40
  6. Step 6: Final answer
    x = 14,089.53

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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.