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Finding the Fourth Proportional to 10,413.86, 14,370.93 and 5,698.22

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Solution

The fourth proportional to 10,413.86, 14,370.93 and 5,698.22 is: 7,863.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.86 : 14,370.93 = 5,698.22 : x
  2. Step 2: Convert to fraction form
    10,413.86/14,370.93 = 5,698.22/x
  3. Step 3: Cross multiply
    10,413.86x = 14,370.93 × 5,698.22
  4. Step 4: Simplify right side
    10,413.86x = 81,888,720.74
  5. Step 5: Solve for x
    x = 81,888,720.74/10,413.86
  6. Step 6: Final answer
    x = 7,863.44

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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.