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Finding the Fourth Proportional to 7,802.73, 10,768.76 and 4,446.75

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Solution

The fourth proportional to 7,802.73, 10,768.76 and 4,446.75 is: 6,137.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.73 : 10,768.76 = 4,446.75 : x
  2. Step 2: Convert to fraction form
    7,802.73/10,768.76 = 4,446.75/x
  3. Step 3: Cross multiply
    7,802.73x = 10,768.76 × 4,446.75
  4. Step 4: Simplify right side
    7,802.73x = 47,885,977.97
  5. Step 5: Solve for x
    x = 47,885,977.97/7,802.73
  6. Step 6: Final answer
    x = 6,137.08

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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.