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Finding the Fourth Proportional to 4,706.22, 6,497.31 and 2,938.74

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Solution

The fourth proportional to 4,706.22, 6,497.31 and 2,938.74 is: 4,057.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.22 : 6,497.31 = 2,938.74 : x
  2. Step 2: Convert to fraction form
    4,706.22/6,497.31 = 2,938.74/x
  3. Step 3: Cross multiply
    4,706.22x = 6,497.31 × 2,938.74
  4. Step 4: Simplify right side
    4,706.22x = 19,093,904.79
  5. Step 5: Solve for x
    x = 19,093,904.79/4,706.22
  6. Step 6: Final answer
    x = 4,057.16

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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.