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Finding the Fourth Proportional to 6,953.30, 10,431.30 and 3,057.69

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Solution

The fourth proportional to 6,953.30, 10,431.30 and 3,057.69 is: 4,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.30 : 10,431.30 = 3,057.69 : x
  2. Step 2: Convert to fraction form
    6,953.30/10,431.30 = 3,057.69/x
  3. Step 3: Cross multiply
    6,953.30x = 10,431.30 × 3,057.69
  4. Step 4: Simplify right side
    6,953.30x = 31,895,681.70
  5. Step 5: Solve for x
    x = 31,895,681.70/6,953.30
  6. Step 6: Final answer
    x = 4,587.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.