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Finding the Fourth Proportional to 6,207.40, 8,709.80 and 6,207.40

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Solution

The fourth proportional to 6,207.40, 8,709.80 and 6,207.40 is: 8,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.40 : 8,709.80 = 6,207.40 : x
  2. Step 2: Convert to fraction form
    6,207.40/8,709.80 = 6,207.40/x
  3. Step 3: Cross multiply
    6,207.40x = 8,709.80 × 6,207.40
  4. Step 4: Simplify right side
    6,207.40x = 54,065,212.52
  5. Step 5: Solve for x
    x = 54,065,212.52/6,207.40
  6. Step 6: Final answer
    x = 8,709.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.