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Finding the Fourth Proportional to 4,735.84, 6,534.84 and 2,746.12

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Solution

The fourth proportional to 4,735.84, 6,534.84 and 2,746.12 is: 3,789.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.84 : 6,534.84 = 2,746.12 : x
  2. Step 2: Convert to fraction form
    4,735.84/6,534.84 = 2,746.12/x
  3. Step 3: Cross multiply
    4,735.84x = 6,534.84 × 2,746.12
  4. Step 4: Simplify right side
    4,735.84x = 17,945,454.82
  5. Step 5: Solve for x
    x = 17,945,454.82/4,735.84
  6. Step 6: Final answer
    x = 3,789.29

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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.