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Finding the Fourth Proportional to 6,786.52, 9,364.16 and 3,802.40

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Solution

The fourth proportional to 6,786.52, 9,364.16 and 3,802.40 is: 5,246.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.52 : 9,364.16 = 3,802.40 : x
  2. Step 2: Convert to fraction form
    6,786.52/9,364.16 = 3,802.40/x
  3. Step 3: Cross multiply
    6,786.52x = 9,364.16 × 3,802.40
  4. Step 4: Simplify right side
    6,786.52x = 35,606,281.98
  5. Step 5: Solve for x
    x = 35,606,281.98/6,786.52
  6. Step 6: Final answer
    x = 5,246.62

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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.