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Finding the Fourth Proportional to 5,102.44, 7,653.92 and 1,404.59

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Solution

The fourth proportional to 5,102.44, 7,653.92 and 1,404.59 is: 2,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.44 : 7,653.92 = 1,404.59 : x
  2. Step 2: Convert to fraction form
    5,102.44/7,653.92 = 1,404.59/x
  3. Step 3: Cross multiply
    5,102.44x = 7,653.92 × 1,404.59
  4. Step 4: Simplify right side
    5,102.44x = 10,750,582.10
  5. Step 5: Solve for x
    x = 10,750,582.10/5,102.44
  6. Step 6: Final answer
    x = 2,106.95

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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.