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Finding the Fourth Proportional to 9,768.06, 14,635.08 and 8,135.10

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Solution

The fourth proportional to 9,768.06, 14,635.08 and 8,135.10 is: 12,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.06 : 14,635.08 = 8,135.10 : x
  2. Step 2: Convert to fraction form
    9,768.06/14,635.08 = 8,135.10/x
  3. Step 3: Cross multiply
    9,768.06x = 14,635.08 × 8,135.10
  4. Step 4: Simplify right side
    9,768.06x = 119,057,839.31
  5. Step 5: Solve for x
    x = 119,057,839.31/9,768.06
  6. Step 6: Final answer
    x = 12,188.48

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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.