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Finding the Fourth Proportional to 7,802.95, 10,769.07 and 4,446.97

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Solution

The fourth proportional to 7,802.95, 10,769.07 and 4,446.97 is: 6,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.95 : 10,769.07 = 4,446.97 : x
  2. Step 2: Convert to fraction form
    7,802.95/10,769.07 = 4,446.97/x
  3. Step 3: Cross multiply
    7,802.95x = 10,769.07 × 4,446.97
  4. Step 4: Simplify right side
    7,802.95x = 47,889,731.22
  5. Step 5: Solve for x
    x = 47,889,731.22/7,802.95
  6. Step 6: Final answer
    x = 6,137.39

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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.