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Finding the Fourth Proportional to 6,593.51, 9,100.68 and 4,497.50

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Solution

The fourth proportional to 6,593.51, 9,100.68 and 4,497.50 is: 6,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.51 : 9,100.68 = 4,497.50 : x
  2. Step 2: Convert to fraction form
    6,593.51/9,100.68 = 4,497.50/x
  3. Step 3: Cross multiply
    6,593.51x = 9,100.68 × 4,497.50
  4. Step 4: Simplify right side
    6,593.51x = 40,930,308.30
  5. Step 5: Solve for x
    x = 40,930,308.30/6,593.51
  6. Step 6: Final answer
    x = 6,207.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.