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Finding the Fourth Proportional to 6,780.60, 10,178.09 and 6,005.63

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Solution

The fourth proportional to 6,780.60, 10,178.09 and 6,005.63 is: 9,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.60 : 10,178.09 = 6,005.63 : x
  2. Step 2: Convert to fraction form
    6,780.60/10,178.09 = 6,005.63/x
  3. Step 3: Cross multiply
    6,780.60x = 10,178.09 × 6,005.63
  4. Step 4: Simplify right side
    6,780.60x = 61,125,761.73
  5. Step 5: Solve for x
    x = 61,125,761.73/6,780.60
  6. Step 6: Final answer
    x = 9,014.80

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1.5x scale

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.