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Finding the Fourth Proportional to 6,946.86, 9,586.28 and 3,802.44

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Solution

The fourth proportional to 6,946.86, 9,586.28 and 3,802.44 is: 5,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.86 : 9,586.28 = 3,802.44 : x
  2. Step 2: Convert to fraction form
    6,946.86/9,586.28 = 3,802.44/x
  3. Step 3: Cross multiply
    6,946.86x = 9,586.28 × 3,802.44
  4. Step 4: Simplify right side
    6,946.86x = 36,451,254.52
  5. Step 5: Solve for x
    x = 36,451,254.52/6,946.86
  6. Step 6: Final answer
    x = 5,247.16

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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.