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Finding the Fourth Proportional to 9,502.84, 14,256.90 and 3,958.80

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Solution

The fourth proportional to 9,502.84, 14,256.90 and 3,958.80 is: 5,939.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.84 : 14,256.90 = 3,958.80 : x
  2. Step 2: Convert to fraction form
    9,502.84/14,256.90 = 3,958.80/x
  3. Step 3: Cross multiply
    9,502.84x = 14,256.90 × 3,958.80
  4. Step 4: Simplify right side
    9,502.84x = 56,440,215.72
  5. Step 5: Solve for x
    x = 56,440,215.72/9,502.84
  6. Step 6: Final answer
    x = 5,939.30

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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.