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Finding the Fourth Proportional to 7,184.82, 9,913.92 and 4,533.68

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Solution

The fourth proportional to 7,184.82, 9,913.92 and 4,533.68 is: 6,255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.82 : 9,913.92 = 4,533.68 : x
  2. Step 2: Convert to fraction form
    7,184.82/9,913.92 = 4,533.68/x
  3. Step 3: Cross multiply
    7,184.82x = 9,913.92 × 4,533.68
  4. Step 4: Simplify right side
    7,184.82x = 44,946,540.83
  5. Step 5: Solve for x
    x = 44,946,540.83/7,184.82
  6. Step 6: Final answer
    x = 6,255.76

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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.