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Finding the Fourth Proportional to 9,457.33, 14,186 and 9,443.67

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Solution

The fourth proportional to 9,457.33, 14,186 and 9,443.67 is: 14,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.33 : 14,186 = 9,443.67 : x
  2. Step 2: Convert to fraction form
    9,457.33/14,186 = 9,443.67/x
  3. Step 3: Cross multiply
    9,457.33x = 14,186 × 9,443.67
  4. Step 4: Simplify right side
    9,457.33x = 133,967,902.62
  5. Step 5: Solve for x
    x = 133,967,902.62/9,457.33
  6. Step 6: Final answer
    x = 14,165.51

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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.