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Finding the Fourth Proportional to 10,594.44, 14,619.74 and 5,813.51

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Solution

The fourth proportional to 10,594.44, 14,619.74 and 5,813.51 is: 8,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.44 : 14,619.74 = 5,813.51 : x
  2. Step 2: Convert to fraction form
    10,594.44/14,619.74 = 5,813.51/x
  3. Step 3: Cross multiply
    10,594.44x = 14,619.74 × 5,813.51
  4. Step 4: Simplify right side
    10,594.44x = 84,991,902.52
  5. Step 5: Solve for x
    x = 84,991,902.52/10,594.44
  6. Step 6: Final answer
    x = 8,022.31

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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.