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Finding the Fourth Proportional to 6,493.66, 9,704.90 and 4,742.35

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Solution

The fourth proportional to 6,493.66, 9,704.90 and 4,742.35 is: 7,087.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.66 : 9,704.90 = 4,742.35 : x
  2. Step 2: Convert to fraction form
    6,493.66/9,704.90 = 4,742.35/x
  3. Step 3: Cross multiply
    6,493.66x = 9,704.90 × 4,742.35
  4. Step 4: Simplify right side
    6,493.66x = 46,024,032.52
  5. Step 5: Solve for x
    x = 46,024,032.52/6,493.66
  6. Step 6: Final answer
    x = 7,087.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.