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Finding the Fourth Proportional to 5,596, 8,344.55 and 5,194.24

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Solution

The fourth proportional to 5,596, 8,344.55 and 5,194.24 is: 7,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596 : 8,344.55 = 5,194.24 : x
  2. Step 2: Convert to fraction form
    5,596/8,344.55 = 5,194.24/x
  3. Step 3: Cross multiply
    5,596x = 8,344.55 × 5,194.24
  4. Step 4: Simplify right side
    5,596x = 43,343,595.39
  5. Step 5: Solve for x
    x = 43,343,595.39/5,596
  6. Step 6: Final answer
    x = 7,745.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.