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Finding the Fourth Proportional to 4,696.02, 7,043.01 and 1,408.23

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Solution

The fourth proportional to 4,696.02, 7,043.01 and 1,408.23 is: 2,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.02 : 7,043.01 = 1,408.23 : x
  2. Step 2: Convert to fraction form
    4,696.02/7,043.01 = 1,408.23/x
  3. Step 3: Cross multiply
    4,696.02x = 7,043.01 × 1,408.23
  4. Step 4: Simplify right side
    4,696.02x = 9,918,177.97
  5. Step 5: Solve for x
    x = 9,918,177.97/4,696.02
  6. Step 6: Final answer
    x = 2,112.04

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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.