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Finding the Fourth Proportional to 4,574.88, 6,867.72 and 2,384.64

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Solution

The fourth proportional to 4,574.88, 6,867.72 and 2,384.64 is: 3,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.88 : 6,867.72 = 2,384.64 : x
  2. Step 2: Convert to fraction form
    4,574.88/6,867.72 = 2,384.64/x
  3. Step 3: Cross multiply
    4,574.88x = 6,867.72 × 2,384.64
  4. Step 4: Simplify right side
    4,574.88x = 16,377,039.82
  5. Step 5: Solve for x
    x = 16,377,039.82/4,574.88
  6. Step 6: Final answer
    x = 3,579.77

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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.