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Finding the Fourth Proportional to 6,378.63, 8,802.36 and 3,689.65

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Solution

The fourth proportional to 6,378.63, 8,802.36 and 3,689.65 is: 5,091.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.63 : 8,802.36 = 3,689.65 : x
  2. Step 2: Convert to fraction form
    6,378.63/8,802.36 = 3,689.65/x
  3. Step 3: Cross multiply
    6,378.63x = 8,802.36 × 3,689.65
  4. Step 4: Simplify right side
    6,378.63x = 32,477,627.57
  5. Step 5: Solve for x
    x = 32,477,627.57/6,378.63
  6. Step 6: Final answer
    x = 5,091.63

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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.