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Finding the Fourth Proportional to 7,284.26, 10,930.72 and 6,823.02

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Solution

The fourth proportional to 7,284.26, 10,930.72 and 6,823.02 is: 10,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.26 : 10,930.72 = 6,823.02 : x
  2. Step 2: Convert to fraction form
    7,284.26/10,930.72 = 6,823.02/x
  3. Step 3: Cross multiply
    7,284.26x = 10,930.72 × 6,823.02
  4. Step 4: Simplify right side
    7,284.26x = 74,580,432.41
  5. Step 5: Solve for x
    x = 74,580,432.41/7,284.26
  6. Step 6: Final answer
    x = 10,238.57

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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.