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Finding the Fourth Proportional to 6,264.39, 8,643.88 and 3,746.17

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Solution

The fourth proportional to 6,264.39, 8,643.88 and 3,746.17 is: 5,169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.39 : 8,643.88 = 3,746.17 : x
  2. Step 2: Convert to fraction form
    6,264.39/8,643.88 = 3,746.17/x
  3. Step 3: Cross multiply
    6,264.39x = 8,643.88 × 3,746.17
  4. Step 4: Simplify right side
    6,264.39x = 32,381,443.94
  5. Step 5: Solve for x
    x = 32,381,443.94/6,264.39
  6. Step 6: Final answer
    x = 5,169.13

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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.