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Finding the Fourth Proportional to 10,494.75, 14,484.07 and 6,018.42

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Solution

The fourth proportional to 10,494.75, 14,484.07 and 6,018.42 is: 8,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.75 : 14,484.07 = 6,018.42 : x
  2. Step 2: Convert to fraction form
    10,494.75/14,484.07 = 6,018.42/x
  3. Step 3: Cross multiply
    10,494.75x = 14,484.07 × 6,018.42
  4. Step 4: Simplify right side
    10,494.75x = 87,171,216.57
  5. Step 5: Solve for x
    x = 87,171,216.57/10,494.75
  6. Step 6: Final answer
    x = 8,306.17

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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.