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Finding the Fourth Proportional to 11,842.70, 16,343.03 and 6,537.40

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Solution

The fourth proportional to 11,842.70, 16,343.03 and 6,537.40 is: 9,021.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.70 : 16,343.03 = 6,537.40 : x
  2. Step 2: Convert to fraction form
    11,842.70/16,343.03 = 6,537.40/x
  3. Step 3: Cross multiply
    11,842.70x = 16,343.03 × 6,537.40
  4. Step 4: Simplify right side
    11,842.70x = 106,840,899.81
  5. Step 5: Solve for x
    x = 106,840,899.81/11,842.70
  6. Step 6: Final answer
    x = 9,021.67

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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.