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Finding the Fourth Proportional to 4,762.63, 7,130.67 and 4,324.33

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Solution

The fourth proportional to 4,762.63, 7,130.67 and 4,324.33 is: 6,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.63 : 7,130.67 = 4,324.33 : x
  2. Step 2: Convert to fraction form
    4,762.63/7,130.67 = 4,324.33/x
  3. Step 3: Cross multiply
    4,762.63x = 7,130.67 × 4,324.33
  4. Step 4: Simplify right side
    4,762.63x = 30,835,370.20
  5. Step 5: Solve for x
    x = 30,835,370.20/4,762.63
  6. Step 6: Final answer
    x = 6,474.44

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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.