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Finding the Fourth Proportional to 4,509.88, 6,225.66 and 2,647

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Solution

The fourth proportional to 4,509.88, 6,225.66 and 2,647 is: 3,654.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.88 : 6,225.66 = 2,647 : x
  2. Step 2: Convert to fraction form
    4,509.88/6,225.66 = 2,647/x
  3. Step 3: Cross multiply
    4,509.88x = 6,225.66 × 2,647
  4. Step 4: Simplify right side
    4,509.88x = 16,479,322.02
  5. Step 5: Solve for x
    x = 16,479,322.02/4,509.88
  6. Step 6: Final answer
    x = 3,654.05

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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.