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Finding the Fourth Proportional to 4,584.09, 6,875.99 and 1,464.28

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Solution

The fourth proportional to 4,584.09, 6,875.99 and 1,464.28 is: 2,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.09 : 6,875.99 = 1,464.28 : x
  2. Step 2: Convert to fraction form
    4,584.09/6,875.99 = 1,464.28/x
  3. Step 3: Cross multiply
    4,584.09x = 6,875.99 × 1,464.28
  4. Step 4: Simplify right side
    4,584.09x = 10,068,355.62
  5. Step 5: Solve for x
    x = 10,068,355.62/4,584.09
  6. Step 6: Final answer
    x = 2,196.37

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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.