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Finding the Fourth Proportional to 6,809.82, 9,401.14 and 4,583.40

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Solution

The fourth proportional to 6,809.82, 9,401.14 and 4,583.40 is: 6,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.82 : 9,401.14 = 4,583.40 : x
  2. Step 2: Convert to fraction form
    6,809.82/9,401.14 = 4,583.40/x
  3. Step 3: Cross multiply
    6,809.82x = 9,401.14 × 4,583.40
  4. Step 4: Simplify right side
    6,809.82x = 43,089,162.16
  5. Step 5: Solve for x
    x = 43,089,162.16/6,809.82
  6. Step 6: Final answer
    x = 6,327.50

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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.