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Finding the Fourth Proportional to 9,674.56, 13,348.56 and 6,136.48

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Solution

The fourth proportional to 9,674.56, 13,348.56 and 6,136.48 is: 8,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.56 : 13,348.56 = 6,136.48 : x
  2. Step 2: Convert to fraction form
    9,674.56/13,348.56 = 6,136.48/x
  3. Step 3: Cross multiply
    9,674.56x = 13,348.56 × 6,136.48
  4. Step 4: Simplify right side
    9,674.56x = 81,913,171.47
  5. Step 5: Solve for x
    x = 81,913,171.47/9,674.56
  6. Step 6: Final answer
    x = 8,466.86

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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.