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Finding the Fourth Proportional to 4,953.96, 7,429.02 and 1,833.48

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Solution

The fourth proportional to 4,953.96, 7,429.02 and 1,833.48 is: 2,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.96 : 7,429.02 = 1,833.48 : x
  2. Step 2: Convert to fraction form
    4,953.96/7,429.02 = 1,833.48/x
  3. Step 3: Cross multiply
    4,953.96x = 7,429.02 × 1,833.48
  4. Step 4: Simplify right side
    4,953.96x = 13,620,959.59
  5. Step 5: Solve for x
    x = 13,620,959.59/4,953.96
  6. Step 6: Final answer
    x = 2,749.51

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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.