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Finding the Fourth Proportional to 6,374.74, 9,562.24 and 1,992.24

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Solution

The fourth proportional to 6,374.74, 9,562.24 and 1,992.24 is: 2,988.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.74 : 9,562.24 = 1,992.24 : x
  2. Step 2: Convert to fraction form
    6,374.74/9,562.24 = 1,992.24/x
  3. Step 3: Cross multiply
    6,374.74x = 9,562.24 × 1,992.24
  4. Step 4: Simplify right side
    6,374.74x = 19,050,277.02
  5. Step 5: Solve for x
    x = 19,050,277.02/6,374.74
  6. Step 6: Final answer
    x = 2,988.40

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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.