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Finding the Fourth Proportional to 8,190.50, 11,302.92 and 4,464.50

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Solution

The fourth proportional to 8,190.50, 11,302.92 and 4,464.50 is: 6,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.50 : 11,302.92 = 4,464.50 : x
  2. Step 2: Convert to fraction form
    8,190.50/11,302.92 = 4,464.50/x
  3. Step 3: Cross multiply
    8,190.50x = 11,302.92 × 4,464.50
  4. Step 4: Simplify right side
    8,190.50x = 50,461,886.34
  5. Step 5: Solve for x
    x = 50,461,886.34/8,190.50
  6. Step 6: Final answer
    x = 6,161.03

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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.