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Finding the Fourth Proportional to 10,525.42, 14,523.06 and 6,333.94

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Solution

The fourth proportional to 10,525.42, 14,523.06 and 6,333.94 is: 8,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.42 : 14,523.06 = 6,333.94 : x
  2. Step 2: Convert to fraction form
    10,525.42/14,523.06 = 6,333.94/x
  3. Step 3: Cross multiply
    10,525.42x = 14,523.06 × 6,333.94
  4. Step 4: Simplify right side
    10,525.42x = 91,988,190.66
  5. Step 5: Solve for x
    x = 91,988,190.66/10,525.42
  6. Step 6: Final answer
    x = 8,739.62

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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.