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Finding the Fourth Proportional to 7,741.71, 10,678.10 and 4,759.22

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Solution

The fourth proportional to 7,741.71, 10,678.10 and 4,759.22 is: 6,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.71 : 10,678.10 = 4,759.22 : x
  2. Step 2: Convert to fraction form
    7,741.71/10,678.10 = 4,759.22/x
  3. Step 3: Cross multiply
    7,741.71x = 10,678.10 × 4,759.22
  4. Step 4: Simplify right side
    7,741.71x = 50,819,429.98
  5. Step 5: Solve for x
    x = 50,819,429.98/7,741.71
  6. Step 6: Final answer
    x = 6,564.37

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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.