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Finding the Fourth Proportional to 17,189.40, 25,784.10 and 9,413.40

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Solution

The fourth proportional to 17,189.40, 25,784.10 and 9,413.40 is: 14,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,189.40 : 25,784.10 = 9,413.40 : x
  2. Step 2: Convert to fraction form
    17,189.40/25,784.10 = 9,413.40/x
  3. Step 3: Cross multiply
    17,189.40x = 25,784.10 × 9,413.40
  4. Step 4: Simplify right side
    17,189.40x = 242,716,046.94
  5. Step 5: Solve for x
    x = 242,716,046.94/17,189.40
  6. Step 6: Final answer
    x = 14,120.10

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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.