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Finding the Fourth Proportional to 30,597.85, 45,893.13 and 8,413.48

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Solution

The fourth proportional to 30,597.85, 45,893.13 and 8,413.48 is: 12,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.85 : 45,893.13 = 8,413.48 : x
  2. Step 2: Convert to fraction form
    30,597.85/45,893.13 = 8,413.48/x
  3. Step 3: Cross multiply
    30,597.85x = 45,893.13 × 8,413.48
  4. Step 4: Simplify right side
    30,597.85x = 386,120,931.39
  5. Step 5: Solve for x
    x = 386,120,931.39/30,597.85
  6. Step 6: Final answer
    x = 12,619.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.