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Finding the Fourth Proportional to 6,863.64, 9,462.12 and 4,873.47

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Solution

The fourth proportional to 6,863.64, 9,462.12 and 4,873.47 is: 6,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.64 : 9,462.12 = 4,873.47 : x
  2. Step 2: Convert to fraction form
    6,863.64/9,462.12 = 4,873.47/x
  3. Step 3: Cross multiply
    6,863.64x = 9,462.12 × 4,873.47
  4. Step 4: Simplify right side
    6,863.64x = 46,113,357.96
  5. Step 5: Solve for x
    x = 46,113,357.96/6,863.64
  6. Step 6: Final answer
    x = 6,718.50

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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.