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Finding the Fourth Proportional to 6,946.64, 10,408.32 and 6,676.88

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Solution

The fourth proportional to 6,946.64, 10,408.32 and 6,676.88 is: 10,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.64 : 10,408.32 = 6,676.88 : x
  2. Step 2: Convert to fraction form
    6,946.64/10,408.32 = 6,676.88/x
  3. Step 3: Cross multiply
    6,946.64x = 10,408.32 × 6,676.88
  4. Step 4: Simplify right side
    6,946.64x = 69,495,103.64
  5. Step 5: Solve for x
    x = 69,495,103.64/6,946.64
  6. Step 6: Final answer
    x = 10,004.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.