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Finding the Fourth Proportional to 6,217.88, 8,582.48 and 4,967.64

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Solution

The fourth proportional to 6,217.88, 8,582.48 and 4,967.64 is: 6,856.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.88 : 8,582.48 = 4,967.64 : x
  2. Step 2: Convert to fraction form
    6,217.88/8,582.48 = 4,967.64/x
  3. Step 3: Cross multiply
    6,217.88x = 8,582.48 × 4,967.64
  4. Step 4: Simplify right side
    6,217.88x = 42,634,646.11
  5. Step 5: Solve for x
    x = 42,634,646.11/6,217.88
  6. Step 6: Final answer
    x = 6,856.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.