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Finding the Fourth Proportional to 8,459.50, 11,674.11 and 4,734.22

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Solution

The fourth proportional to 8,459.50, 11,674.11 and 4,734.22 is: 6,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.50 : 11,674.11 = 4,734.22 : x
  2. Step 2: Convert to fraction form
    8,459.50/11,674.11 = 4,734.22/x
  3. Step 3: Cross multiply
    8,459.50x = 11,674.11 × 4,734.22
  4. Step 4: Simplify right side
    8,459.50x = 55,267,805.04
  5. Step 5: Solve for x
    x = 55,267,805.04/8,459.50
  6. Step 6: Final answer
    x = 6,533.22

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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.