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Finding the Fourth Proportional to 13,793.64, 19,030.32 and 8,413.92

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Solution

The fourth proportional to 13,793.64, 19,030.32 and 8,413.92 is: 11,608.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.64 : 19,030.32 = 8,413.92 : x
  2. Step 2: Convert to fraction form
    13,793.64/19,030.32 = 8,413.92/x
  3. Step 3: Cross multiply
    13,793.64x = 19,030.32 × 8,413.92
  4. Step 4: Simplify right side
    13,793.64x = 160,119,590.05
  5. Step 5: Solve for x
    x = 160,119,590.05/13,793.64
  6. Step 6: Final answer
    x = 11,608.22

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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.