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Finding the Fourth Proportional to 11,604.29, 17,413.11 and 5,031.14

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Solution

The fourth proportional to 11,604.29, 17,413.11 and 5,031.14 is: 7,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.29 : 17,413.11 = 5,031.14 : x
  2. Step 2: Convert to fraction form
    11,604.29/17,413.11 = 5,031.14/x
  3. Step 3: Cross multiply
    11,604.29x = 17,413.11 × 5,031.14
  4. Step 4: Simplify right side
    11,604.29x = 87,607,707.18
  5. Step 5: Solve for x
    x = 87,607,707.18/11,604.29
  6. Step 6: Final answer
    x = 7,549.60

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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.