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Finding the Fourth Proportional to 10,347.84, 14,277.84 and 6,768.05

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Solution

The fourth proportional to 10,347.84, 14,277.84 and 6,768.05 is: 9,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.84 : 14,277.84 = 6,768.05 : x
  2. Step 2: Convert to fraction form
    10,347.84/14,277.84 = 6,768.05/x
  3. Step 3: Cross multiply
    10,347.84x = 14,277.84 × 6,768.05
  4. Step 4: Simplify right side
    10,347.84x = 96,633,063.62
  5. Step 5: Solve for x
    x = 96,633,063.62/10,347.84
  6. Step 6: Final answer
    x = 9,338.48

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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.