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Finding the Fourth Proportional to 4,706.64, 6,497.04 and 3,137.04

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Solution

The fourth proportional to 4,706.64, 6,497.04 and 3,137.04 is: 4,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.64 : 6,497.04 = 3,137.04 : x
  2. Step 2: Convert to fraction form
    4,706.64/6,497.04 = 3,137.04/x
  3. Step 3: Cross multiply
    4,706.64x = 6,497.04 × 3,137.04
  4. Step 4: Simplify right side
    4,706.64x = 20,381,474.36
  5. Step 5: Solve for x
    x = 20,381,474.36/4,706.64
  6. Step 6: Final answer
    x = 4,330.37

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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.