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Finding the Fourth Proportional to 6,076.99, 9,116.70 and 1,917.64

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Solution

The fourth proportional to 6,076.99, 9,116.70 and 1,917.64 is: 2,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.99 : 9,116.70 = 1,917.64 : x
  2. Step 2: Convert to fraction form
    6,076.99/9,116.70 = 1,917.64/x
  3. Step 3: Cross multiply
    6,076.99x = 9,116.70 × 1,917.64
  4. Step 4: Simplify right side
    6,076.99x = 17,482,503.00
  5. Step 5: Solve for x
    x = 17,482,503.00/6,076.99
  6. Step 6: Final answer
    x = 2,876.84

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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.