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Finding the Fourth Proportional to 6,800.26, 9,386.34 and 4,442.74

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Solution

The fourth proportional to 6,800.26, 9,386.34 and 4,442.74 is: 6,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.26 : 9,386.34 = 4,442.74 : x
  2. Step 2: Convert to fraction form
    6,800.26/9,386.34 = 4,442.74/x
  3. Step 3: Cross multiply
    6,800.26x = 9,386.34 × 4,442.74
  4. Step 4: Simplify right side
    6,800.26x = 41,701,068.17
  5. Step 5: Solve for x
    x = 41,701,068.17/6,800.26
  6. Step 6: Final answer
    x = 6,132.28

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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.