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Finding the Fourth Proportional to 4,706.10, 7,018.03 and 4,123.81

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Solution

The fourth proportional to 4,706.10, 7,018.03 and 4,123.81 is: 6,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.10 : 7,018.03 = 4,123.81 : x
  2. Step 2: Convert to fraction form
    4,706.10/7,018.03 = 4,123.81/x
  3. Step 3: Cross multiply
    4,706.10x = 7,018.03 × 4,123.81
  4. Step 4: Simplify right side
    4,706.10x = 28,941,022.29
  5. Step 5: Solve for x
    x = 28,941,022.29/4,706.10
  6. Step 6: Final answer
    x = 6,149.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.