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Finding the Fourth Proportional to 6,844.09, 10,216.63 and 6,013.71

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Solution

The fourth proportional to 6,844.09, 10,216.63 and 6,013.71 is: 8,977.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.09 : 10,216.63 = 6,013.71 : x
  2. Step 2: Convert to fraction form
    6,844.09/10,216.63 = 6,013.71/x
  3. Step 3: Cross multiply
    6,844.09x = 10,216.63 × 6,013.71
  4. Step 4: Simplify right side
    6,844.09x = 61,439,860.50
  5. Step 5: Solve for x
    x = 61,439,860.50/6,844.09
  6. Step 6: Final answer
    x = 8,977.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.