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Finding the Fourth Proportional to 9,710.26, 13,369.46 and 8,823.41

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Solution

The fourth proportional to 9,710.26, 13,369.46 and 8,823.41 is: 12,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.26 : 13,369.46 = 8,823.41 : x
  2. Step 2: Convert to fraction form
    9,710.26/13,369.46 = 8,823.41/x
  3. Step 3: Cross multiply
    9,710.26x = 13,369.46 × 8,823.41
  4. Step 4: Simplify right side
    9,710.26x = 117,964,227.06
  5. Step 5: Solve for x
    x = 117,964,227.06/9,710.26
  6. Step 6: Final answer
    x = 12,148.42

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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.