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Finding the Fourth Proportional to 6,802.30, 9,387 and 3,818.86

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Solution

The fourth proportional to 6,802.30, 9,387 and 3,818.86 is: 5,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.30 : 9,387 = 3,818.86 : x
  2. Step 2: Convert to fraction form
    6,802.30/9,387 = 3,818.86/x
  3. Step 3: Cross multiply
    6,802.30x = 9,387 × 3,818.86
  4. Step 4: Simplify right side
    6,802.30x = 35,847,638.82
  5. Step 5: Solve for x
    x = 35,847,638.82/6,802.30
  6. Step 6: Final answer
    x = 5,269.93

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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.