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Finding the Fourth Proportional to 7,771.80, 10,732.74 and 4,944.51

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Solution

The fourth proportional to 7,771.80, 10,732.74 and 4,944.51 is: 6,828.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.80 : 10,732.74 = 4,944.51 : x
  2. Step 2: Convert to fraction form
    7,771.80/10,732.74 = 4,944.51/x
  3. Step 3: Cross multiply
    7,771.80x = 10,732.74 × 4,944.51
  4. Step 4: Simplify right side
    7,771.80x = 53,068,140.26
  5. Step 5: Solve for x
    x = 53,068,140.26/7,771.80
  6. Step 6: Final answer
    x = 6,828.29

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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.