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Finding the Fourth Proportional to 6,679.64, 9,214.80 and 4,322.54

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Solution

The fourth proportional to 6,679.64, 9,214.80 and 4,322.54 is: 5,963.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.64 : 9,214.80 = 4,322.54 : x
  2. Step 2: Convert to fraction form
    6,679.64/9,214.80 = 4,322.54/x
  3. Step 3: Cross multiply
    6,679.64x = 9,214.80 × 4,322.54
  4. Step 4: Simplify right side
    6,679.64x = 39,831,341.59
  5. Step 5: Solve for x
    x = 39,831,341.59/6,679.64
  6. Step 6: Final answer
    x = 5,963.10

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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.