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Finding the Fourth Proportional to 5,065.76, 7,598.12 and 1,367.84

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Solution

The fourth proportional to 5,065.76, 7,598.12 and 1,367.84 is: 2,051.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.76 : 7,598.12 = 1,367.84 : x
  2. Step 2: Convert to fraction form
    5,065.76/7,598.12 = 1,367.84/x
  3. Step 3: Cross multiply
    5,065.76x = 7,598.12 × 1,367.84
  4. Step 4: Simplify right side
    5,065.76x = 10,392,967.63
  5. Step 5: Solve for x
    x = 10,392,967.63/5,065.76
  6. Step 6: Final answer
    x = 2,051.61

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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.