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Finding the Fourth Proportional to 4,283.70, 6,419.55 and 3,407.70

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Solution

The fourth proportional to 4,283.70, 6,419.55 and 3,407.70 is: 5,106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,283.70 : 6,419.55 = 3,407.70 : x
  2. Step 2: Convert to fraction form
    4,283.70/6,419.55 = 3,407.70/x
  3. Step 3: Cross multiply
    4,283.70x = 6,419.55 × 3,407.70
  4. Step 4: Simplify right side
    4,283.70x = 21,875,900.54
  5. Step 5: Solve for x
    x = 21,875,900.54/4,283.70
  6. Step 6: Final answer
    x = 5,106.78

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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.