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Finding the Fourth Proportional to 6,873.04, 9,477.84 and 6,114.44

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Solution

The fourth proportional to 6,873.04, 9,477.84 and 6,114.44 is: 8,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.04 : 9,477.84 = 6,114.44 : x
  2. Step 2: Convert to fraction form
    6,873.04/9,477.84 = 6,114.44/x
  3. Step 3: Cross multiply
    6,873.04x = 9,477.84 × 6,114.44
  4. Step 4: Simplify right side
    6,873.04x = 57,951,684.01
  5. Step 5: Solve for x
    x = 57,951,684.01/6,873.04
  6. Step 6: Final answer
    x = 8,431.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.