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Finding the Fourth Proportional to 6,011.84, 9,009.60 and 3,084

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Solution

The fourth proportional to 6,011.84, 9,009.60 and 3,084 is: 4,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011.84 : 9,009.60 = 3,084 : x
  2. Step 2: Convert to fraction form
    6,011.84/9,009.60 = 3,084/x
  3. Step 3: Cross multiply
    6,011.84x = 9,009.60 × 3,084
  4. Step 4: Simplify right side
    6,011.84x = 27,785,606.40
  5. Step 5: Solve for x
    x = 27,785,606.40/6,011.84
  6. Step 6: Final answer
    x = 4,621.81

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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.