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Finding the Fourth Proportional to 24,947.63, 37,413.65 and 8,303.77

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Solution

The fourth proportional to 24,947.63, 37,413.65 and 8,303.77 is: 12,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,947.63 : 37,413.65 = 8,303.77 : x
  2. Step 2: Convert to fraction form
    24,947.63/37,413.65 = 8,303.77/x
  3. Step 3: Cross multiply
    24,947.63x = 37,413.65 × 8,303.77
  4. Step 4: Simplify right side
    24,947.63x = 310,674,213.94
  5. Step 5: Solve for x
    x = 310,674,213.94/24,947.63
  6. Step 6: Final answer
    x = 12,453.06

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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.