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Finding the Fourth Proportional to 6,298.64, 8,694.16 and 5,634.32

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Solution

The fourth proportional to 6,298.64, 8,694.16 and 5,634.32 is: 7,777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.64 : 8,694.16 = 5,634.32 : x
  2. Step 2: Convert to fraction form
    6,298.64/8,694.16 = 5,634.32/x
  3. Step 3: Cross multiply
    6,298.64x = 8,694.16 × 5,634.32
  4. Step 4: Simplify right side
    6,298.64x = 48,985,679.57
  5. Step 5: Solve for x
    x = 48,985,679.57/6,298.64
  6. Step 6: Final answer
    x = 7,777.18

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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.