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Finding the Fourth Proportional to 8,768.64, 12,102.88 and 5,234.08

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Solution

The fourth proportional to 8,768.64, 12,102.88 and 5,234.08 is: 7,224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768.64 : 12,102.88 = 5,234.08 : x
  2. Step 2: Convert to fraction form
    8,768.64/12,102.88 = 5,234.08/x
  3. Step 3: Cross multiply
    8,768.64x = 12,102.88 × 5,234.08
  4. Step 4: Simplify right side
    8,768.64x = 63,347,442.15
  5. Step 5: Solve for x
    x = 63,347,442.15/8,768.64
  6. Step 6: Final answer
    x = 7,224.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.