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Finding the Fourth Proportional to 24,417.44, 36,627.28 and 7,775.91

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Solution

The fourth proportional to 24,417.44, 36,627.28 and 7,775.91 is: 11,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417.44 : 36,627.28 = 7,775.91 : x
  2. Step 2: Convert to fraction form
    24,417.44/36,627.28 = 7,775.91/x
  3. Step 3: Cross multiply
    24,417.44x = 36,627.28 × 7,775.91
  4. Step 4: Simplify right side
    24,417.44x = 284,810,413.39
  5. Step 5: Solve for x
    x = 284,810,413.39/24,417.44
  6. Step 6: Final answer
    x = 11,664.22

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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.