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Finding the Fourth Proportional to 6,483.36, 8,947.68 and 3,689.28

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Solution

The fourth proportional to 6,483.36, 8,947.68 and 3,689.28 is: 5,091.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.36 : 8,947.68 = 3,689.28 : x
  2. Step 2: Convert to fraction form
    6,483.36/8,947.68 = 3,689.28/x
  3. Step 3: Cross multiply
    6,483.36x = 8,947.68 × 3,689.28
  4. Step 4: Simplify right side
    6,483.36x = 33,010,496.87
  5. Step 5: Solve for x
    x = 33,010,496.87/6,483.36
  6. Step 6: Final answer
    x = 5,091.57

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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.