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Finding the Fourth Proportional to 4,707.75, 7,061.63 and 1,629.75

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Solution

The fourth proportional to 4,707.75, 7,061.63 and 1,629.75 is: 2,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.75 : 7,061.63 = 1,629.75 : x
  2. Step 2: Convert to fraction form
    4,707.75/7,061.63 = 1,629.75/x
  3. Step 3: Cross multiply
    4,707.75x = 7,061.63 × 1,629.75
  4. Step 4: Simplify right side
    4,707.75x = 11,508,683.34
  5. Step 5: Solve for x
    x = 11,508,683.34/4,707.75
  6. Step 6: Final answer
    x = 2,444.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.