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Finding the Fourth Proportional to 10,617.82, 14,653.46 and 6,848.84

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Solution

The fourth proportional to 10,617.82, 14,653.46 and 6,848.84 is: 9,451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.82 : 14,653.46 = 6,848.84 : x
  2. Step 2: Convert to fraction form
    10,617.82/14,653.46 = 6,848.84/x
  3. Step 3: Cross multiply
    10,617.82x = 14,653.46 × 6,848.84
  4. Step 4: Simplify right side
    10,617.82x = 100,359,202.99
  5. Step 5: Solve for x
    x = 100,359,202.99/10,617.82
  6. Step 6: Final answer
    x = 9,451.96

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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.