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Finding the Fourth Proportional to 7,757.19, 10,704.74 and 4,354.11

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Solution

The fourth proportional to 7,757.19, 10,704.74 and 4,354.11 is: 6,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.19 : 10,704.74 = 4,354.11 : x
  2. Step 2: Convert to fraction form
    7,757.19/10,704.74 = 4,354.11/x
  3. Step 3: Cross multiply
    7,757.19x = 10,704.74 × 4,354.11
  4. Step 4: Simplify right side
    7,757.19x = 46,609,593.71
  5. Step 5: Solve for x
    x = 46,609,593.71/7,757.19
  6. Step 6: Final answer
    x = 6,008.57

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Double scale
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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.