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Finding the Fourth Proportional to 8,523.20, 12,784.80 and 6,795.20

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Solution

The fourth proportional to 8,523.20, 12,784.80 and 6,795.20 is: 10,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.20 : 12,784.80 = 6,795.20 : x
  2. Step 2: Convert to fraction form
    8,523.20/12,784.80 = 6,795.20/x
  3. Step 3: Cross multiply
    8,523.20x = 12,784.80 × 6,795.20
  4. Step 4: Simplify right side
    8,523.20x = 86,875,272.96
  5. Step 5: Solve for x
    x = 86,875,272.96/8,523.20
  6. Step 6: Final answer
    x = 10,192.80

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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.