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Finding the Fourth Proportional to 4,707.78, 6,491.70 and 2,938.92

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Solution

The fourth proportional to 4,707.78, 6,491.70 and 2,938.92 is: 4,052.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.78 : 6,491.70 = 2,938.92 : x
  2. Step 2: Convert to fraction form
    4,707.78/6,491.70 = 2,938.92/x
  3. Step 3: Cross multiply
    4,707.78x = 6,491.70 × 2,938.92
  4. Step 4: Simplify right side
    4,707.78x = 19,078,586.96
  5. Step 5: Solve for x
    x = 19,078,586.96/4,707.78
  6. Step 6: Final answer
    x = 4,052.57

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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.