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Finding the Fourth Proportional to 4,758.63, 7,102.97 and 4,424.37

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Solution

The fourth proportional to 4,758.63, 7,102.97 and 4,424.37 is: 6,604.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.63 : 7,102.97 = 4,424.37 : x
  2. Step 2: Convert to fraction form
    4,758.63/7,102.97 = 4,424.37/x
  3. Step 3: Cross multiply
    4,758.63x = 7,102.97 × 4,424.37
  4. Step 4: Simplify right side
    4,758.63x = 31,426,145.26
  5. Step 5: Solve for x
    x = 31,426,145.26/4,758.63
  6. Step 6: Final answer
    x = 6,604.03

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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.