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Finding the Fourth Proportional to 6,532.80, 9,134.40 and 6,532.80

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Solution

The fourth proportional to 6,532.80, 9,134.40 and 6,532.80 is: 9,134.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.80 : 9,134.40 = 6,532.80 : x
  2. Step 2: Convert to fraction form
    6,532.80/9,134.40 = 6,532.80/x
  3. Step 3: Cross multiply
    6,532.80x = 9,134.40 × 6,532.80
  4. Step 4: Simplify right side
    6,532.80x = 59,673,208.32
  5. Step 5: Solve for x
    x = 59,673,208.32/6,532.80
  6. Step 6: Final answer
    x = 9,134.40

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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.