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Finding the Fourth Proportional to 9,806.53, 13,533.22 and 6,031.83

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Solution

The fourth proportional to 9,806.53, 13,533.22 and 6,031.83 is: 8,324.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.53 : 13,533.22 = 6,031.83 : x
  2. Step 2: Convert to fraction form
    9,806.53/13,533.22 = 6,031.83/x
  3. Step 3: Cross multiply
    9,806.53x = 13,533.22 × 6,031.83
  4. Step 4: Simplify right side
    9,806.53x = 81,630,082.39
  5. Step 5: Solve for x
    x = 81,630,082.39/9,806.53
  6. Step 6: Final answer
    x = 8,324.05

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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.