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Finding the Fourth Proportional to 30,257.46, 45,389.43 and 9,197.46

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Solution

The fourth proportional to 30,257.46, 45,389.43 and 9,197.46 is: 13,797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.46 : 45,389.43 = 9,197.46 : x
  2. Step 2: Convert to fraction form
    30,257.46/45,389.43 = 9,197.46/x
  3. Step 3: Cross multiply
    30,257.46x = 45,389.43 × 9,197.46
  4. Step 4: Simplify right side
    30,257.46x = 417,467,466.85
  5. Step 5: Solve for x
    x = 417,467,466.85/30,257.46
  6. Step 6: Final answer
    x = 13,797.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.