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Finding the Fourth Proportional to 4,886.49, 6,746.25 and 3,210.84

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Solution

The fourth proportional to 4,886.49, 6,746.25 and 3,210.84 is: 4,432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.49 : 6,746.25 = 3,210.84 : x
  2. Step 2: Convert to fraction form
    4,886.49/6,746.25 = 3,210.84/x
  3. Step 3: Cross multiply
    4,886.49x = 6,746.25 × 3,210.84
  4. Step 4: Simplify right side
    4,886.49x = 21,661,141.39
  5. Step 5: Solve for x
    x = 21,661,141.39/4,886.49
  6. Step 6: Final answer
    x = 4,432.86

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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.