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Finding the Fourth Proportional to 9,413.13, 13,003.64 and 7,522.24

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Solution

The fourth proportional to 9,413.13, 13,003.64 and 7,522.24 is: 10,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.13 : 13,003.64 = 7,522.24 : x
  2. Step 2: Convert to fraction form
    9,413.13/13,003.64 = 7,522.24/x
  3. Step 3: Cross multiply
    9,413.13x = 13,003.64 × 7,522.24
  4. Step 4: Simplify right side
    9,413.13x = 97,816,519.76
  5. Step 5: Solve for x
    x = 97,816,519.76/9,413.13
  6. Step 6: Final answer
    x = 10,391.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.