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Finding the Fourth Proportional to 4,739.96, 7,108.71 and 1,407.42

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Solution

The fourth proportional to 4,739.96, 7,108.71 and 1,407.42 is: 2,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.96 : 7,108.71 = 1,407.42 : x
  2. Step 2: Convert to fraction form
    4,739.96/7,108.71 = 1,407.42/x
  3. Step 3: Cross multiply
    4,739.96x = 7,108.71 × 1,407.42
  4. Step 4: Simplify right side
    4,739.96x = 10,004,940.63
  5. Step 5: Solve for x
    x = 10,004,940.63/4,739.96
  6. Step 6: Final answer
    x = 2,110.77

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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.