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Finding the Fourth Proportional to 6,454.74, 9,682.71 and 1,774.80

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Solution

The fourth proportional to 6,454.74, 9,682.71 and 1,774.80 is: 2,662.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.74 : 9,682.71 = 1,774.80 : x
  2. Step 2: Convert to fraction form
    6,454.74/9,682.71 = 1,774.80/x
  3. Step 3: Cross multiply
    6,454.74x = 9,682.71 × 1,774.80
  4. Step 4: Simplify right side
    6,454.74x = 17,184,873.71
  5. Step 5: Solve for x
    x = 17,184,873.71/6,454.74
  6. Step 6: Final answer
    x = 2,662.36

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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.