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Finding the Fourth Proportional to 6,946.14, 9,585.84 and 3,802.32

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Solution

The fourth proportional to 6,946.14, 9,585.84 and 3,802.32 is: 5,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.14 : 9,585.84 = 3,802.32 : x
  2. Step 2: Convert to fraction form
    6,946.14/9,585.84 = 3,802.32/x
  3. Step 3: Cross multiply
    6,946.14x = 9,585.84 × 3,802.32
  4. Step 4: Simplify right side
    6,946.14x = 36,448,431.15
  5. Step 5: Solve for x
    x = 36,448,431.15/6,946.14
  6. Step 6: Final answer
    x = 5,247.29

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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.