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Finding the Fourth Proportional to 8,664.25, 13,002.14 and 3,192.25

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Solution

The fourth proportional to 8,664.25, 13,002.14 and 3,192.25 is: 4,790.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.25 : 13,002.14 = 3,192.25 : x
  2. Step 2: Convert to fraction form
    8,664.25/13,002.14 = 3,192.25/x
  3. Step 3: Cross multiply
    8,664.25x = 13,002.14 × 3,192.25
  4. Step 4: Simplify right side
    8,664.25x = 41,506,081.42
  5. Step 5: Solve for x
    x = 41,506,081.42/8,664.25
  6. Step 6: Final answer
    x = 4,790.50

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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.