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Finding the Fourth Proportional to 7,682.66, 10,599.36 and 5,031.54

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Solution

The fourth proportional to 7,682.66, 10,599.36 and 5,031.54 is: 6,941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.66 : 10,599.36 = 5,031.54 : x
  2. Step 2: Convert to fraction form
    7,682.66/10,599.36 = 5,031.54/x
  3. Step 3: Cross multiply
    7,682.66x = 10,599.36 × 5,031.54
  4. Step 4: Simplify right side
    7,682.66x = 53,331,103.81
  5. Step 5: Solve for x
    x = 53,331,103.81/7,682.66
  6. Step 6: Final answer
    x = 6,941.75

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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.