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Finding the Fourth Proportional to 9,413.30, 12,993.07 and 7,537.95

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Solution

The fourth proportional to 9,413.30, 12,993.07 and 7,537.95 is: 10,404.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.30 : 12,993.07 = 7,537.95 : x
  2. Step 2: Convert to fraction form
    9,413.30/12,993.07 = 7,537.95/x
  3. Step 3: Cross multiply
    9,413.30x = 12,993.07 × 7,537.95
  4. Step 4: Simplify right side
    9,413.30x = 97,941,112.01
  5. Step 5: Solve for x
    x = 97,941,112.01/9,413.30
  6. Step 6: Final answer
    x = 10,404.55

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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.