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Finding the Fourth Proportional to 27,199.20, 40,798.80 and 9,688.80

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Solution

The fourth proportional to 27,199.20, 40,798.80 and 9,688.80 is: 14,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,199.20 : 40,798.80 = 9,688.80 : x
  2. Step 2: Convert to fraction form
    27,199.20/40,798.80 = 9,688.80/x
  3. Step 3: Cross multiply
    27,199.20x = 40,798.80 × 9,688.80
  4. Step 4: Simplify right side
    27,199.20x = 395,291,413.44
  5. Step 5: Solve for x
    x = 395,291,413.44/27,199.20
  6. Step 6: Final answer
    x = 14,533.20

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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.