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Finding the Fourth Proportional to 12,618.12, 17,413.02 and 7,029.12

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Solution

The fourth proportional to 12,618.12, 17,413.02 and 7,029.12 is: 9,700.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,618.12 : 17,413.02 = 7,029.12 : x
  2. Step 2: Convert to fraction form
    12,618.12/17,413.02 = 7,029.12/x
  3. Step 3: Cross multiply
    12,618.12x = 17,413.02 × 7,029.12
  4. Step 4: Simplify right side
    12,618.12x = 122,398,207.14
  5. Step 5: Solve for x
    x = 122,398,207.14/12,618.12
  6. Step 6: Final answer
    x = 9,700.19

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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.