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Finding the Fourth Proportional to 9,612.02, 14,413.08 and 5,664.44

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Solution

The fourth proportional to 9,612.02, 14,413.08 and 5,664.44 is: 8,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.02 : 14,413.08 = 5,664.44 : x
  2. Step 2: Convert to fraction form
    9,612.02/14,413.08 = 5,664.44/x
  3. Step 3: Cross multiply
    9,612.02x = 14,413.08 × 5,664.44
  4. Step 4: Simplify right side
    9,612.02x = 81,642,026.88
  5. Step 5: Solve for x
    x = 81,642,026.88/9,612.02
  6. Step 6: Final answer
    x = 8,493.74

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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.