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Finding the Fourth Proportional to 4,683.70, 7,020.14 and 1,760.14

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Solution

The fourth proportional to 4,683.70, 7,020.14 and 1,760.14 is: 2,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.70 : 7,020.14 = 1,760.14 : x
  2. Step 2: Convert to fraction form
    4,683.70/7,020.14 = 1,760.14/x
  3. Step 3: Cross multiply
    4,683.70x = 7,020.14 × 1,760.14
  4. Step 4: Simplify right side
    4,683.70x = 12,356,429.22
  5. Step 5: Solve for x
    x = 12,356,429.22/4,683.70
  6. Step 6: Final answer
    x = 2,638.18

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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.