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Finding the Fourth Proportional to 9,796.77, 14,748.12 and 8,924.88

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Solution

The fourth proportional to 9,796.77, 14,748.12 and 8,924.88 is: 13,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.77 : 14,748.12 = 8,924.88 : x
  2. Step 2: Convert to fraction form
    9,796.77/14,748.12 = 8,924.88/x
  3. Step 3: Cross multiply
    9,796.77x = 14,748.12 × 8,924.88
  4. Step 4: Simplify right side
    9,796.77x = 131,625,127.49
  5. Step 5: Solve for x
    x = 131,625,127.49/9,796.77
  6. Step 6: Final answer
    x = 13,435.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.