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Finding the Fourth Proportional to 6,963.92, 10,442.64 and 2,802.32

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Solution

The fourth proportional to 6,963.92, 10,442.64 and 2,802.32 is: 4,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.92 : 10,442.64 = 2,802.32 : x
  2. Step 2: Convert to fraction form
    6,963.92/10,442.64 = 2,802.32/x
  3. Step 3: Cross multiply
    6,963.92x = 10,442.64 × 2,802.32
  4. Step 4: Simplify right side
    6,963.92x = 29,263,618.92
  5. Step 5: Solve for x
    x = 29,263,618.92/6,963.92
  6. Step 6: Final answer
    x = 4,202.18

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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.