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Finding the Fourth Proportional to 15,037.50, 20,751.75 and 8,413.50

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Solution

The fourth proportional to 15,037.50, 20,751.75 and 8,413.50 is: 11,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,037.50 : 20,751.75 = 8,413.50 : x
  2. Step 2: Convert to fraction form
    15,037.50/20,751.75 = 8,413.50/x
  3. Step 3: Cross multiply
    15,037.50x = 20,751.75 × 8,413.50
  4. Step 4: Simplify right side
    15,037.50x = 174,594,848.63
  5. Step 5: Solve for x
    x = 174,594,848.63/15,037.50
  6. Step 6: Final answer
    x = 11,610.63

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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.