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Finding the Fourth Proportional to 8,413.61, 11,603.96 and 7,403.13

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Solution

The fourth proportional to 8,413.61, 11,603.96 and 7,403.13 is: 10,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.61 : 11,603.96 = 7,403.13 : x
  2. Step 2: Convert to fraction form
    8,413.61/11,603.96 = 7,403.13/x
  3. Step 3: Cross multiply
    8,413.61x = 11,603.96 × 7,403.13
  4. Step 4: Simplify right side
    8,413.61x = 85,905,615.14
  5. Step 5: Solve for x
    x = 85,905,615.14/8,413.61
  6. Step 6: Final answer
    x = 10,210.32

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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.