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Finding the Fourth Proportional to 24,941.28, 37,413.54 and 7,409.64

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Solution

The fourth proportional to 24,941.28, 37,413.54 and 7,409.64 is: 11,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,941.28 : 37,413.54 = 7,409.64 : x
  2. Step 2: Convert to fraction form
    24,941.28/37,413.54 = 7,409.64/x
  3. Step 3: Cross multiply
    24,941.28x = 37,413.54 × 7,409.64
  4. Step 4: Simplify right side
    24,941.28x = 277,220,862.53
  5. Step 5: Solve for x
    x = 277,220,862.53/24,941.28
  6. Step 6: Final answer
    x = 11,114.94

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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.