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Finding the Fourth Proportional to 6,802.84, 9,385.50 and 4,446.34

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Solution

The fourth proportional to 6,802.84, 9,385.50 and 4,446.34 is: 6,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.84 : 9,385.50 = 4,446.34 : x
  2. Step 2: Convert to fraction form
    6,802.84/9,385.50 = 4,446.34/x
  3. Step 3: Cross multiply
    6,802.84x = 9,385.50 × 4,446.34
  4. Step 4: Simplify right side
    6,802.84x = 41,731,077.14
  5. Step 5: Solve for x
    x = 41,731,077.14/6,802.84
  6. Step 6: Final answer
    x = 6,134.37

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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.