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Finding the Fourth Proportional to 10,479.42, 14,462.22 and 6,004.56

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Solution

The fourth proportional to 10,479.42, 14,462.22 and 6,004.56 is: 8,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.42 : 14,462.22 = 6,004.56 : x
  2. Step 2: Convert to fraction form
    10,479.42/14,462.22 = 6,004.56/x
  3. Step 3: Cross multiply
    10,479.42x = 14,462.22 × 6,004.56
  4. Step 4: Simplify right side
    10,479.42x = 86,839,267.72
  5. Step 5: Solve for x
    x = 86,839,267.72/10,479.42
  6. Step 6: Final answer
    x = 8,286.65

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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.