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Finding the Fourth Proportional to 8,506.70, 11,736.54 and 5,148.44

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Solution

The fourth proportional to 8,506.70, 11,736.54 and 5,148.44 is: 7,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.70 : 11,736.54 = 5,148.44 : x
  2. Step 2: Convert to fraction form
    8,506.70/11,736.54 = 5,148.44/x
  3. Step 3: Cross multiply
    8,506.70x = 11,736.54 × 5,148.44
  4. Step 4: Simplify right side
    8,506.70x = 60,424,901.34
  5. Step 5: Solve for x
    x = 60,424,901.34/8,506.70
  6. Step 6: Final answer
    x = 7,103.21

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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.