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Finding the Fourth Proportional to 9,946.70, 13,720.74 and 6,214.22

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Solution

The fourth proportional to 9,946.70, 13,720.74 and 6,214.22 is: 8,572.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.70 : 13,720.74 = 6,214.22 : x
  2. Step 2: Convert to fraction form
    9,946.70/13,720.74 = 6,214.22/x
  3. Step 3: Cross multiply
    9,946.70x = 13,720.74 × 6,214.22
  4. Step 4: Simplify right side
    9,946.70x = 85,263,691.42
  5. Step 5: Solve for x
    x = 85,263,691.42/9,946.70
  6. Step 6: Final answer
    x = 8,572.06

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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.