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Finding the Fourth Proportional to 5,653.09, 8,478.65 and 1,493.13

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Solution

The fourth proportional to 5,653.09, 8,478.65 and 1,493.13 is: 2,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.09 : 8,478.65 = 1,493.13 : x
  2. Step 2: Convert to fraction form
    5,653.09/8,478.65 = 1,493.13/x
  3. Step 3: Cross multiply
    5,653.09x = 8,478.65 × 1,493.13
  4. Step 4: Simplify right side
    5,653.09x = 12,659,762.20
  5. Step 5: Solve for x
    x = 12,659,762.20/5,653.09
  6. Step 6: Final answer
    x = 2,239.44

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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.