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Finding the Fourth Proportional to 10,494.62, 14,477.97 and 6,904.96

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Solution

The fourth proportional to 10,494.62, 14,477.97 and 6,904.96 is: 9,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.62 : 14,477.97 = 6,904.96 : x
  2. Step 2: Convert to fraction form
    10,494.62/14,477.97 = 6,904.96/x
  3. Step 3: Cross multiply
    10,494.62x = 14,477.97 × 6,904.96
  4. Step 4: Simplify right side
    10,494.62x = 99,969,803.73
  5. Step 5: Solve for x
    x = 99,969,803.73/10,494.62
  6. Step 6: Final answer
    x = 9,525.81

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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.