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Finding the Fourth Proportional to 6,649.40, 9,966.32 and 4,274.45

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Solution

The fourth proportional to 6,649.40, 9,966.32 and 4,274.45 is: 6,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.40 : 9,966.32 = 4,274.45 : x
  2. Step 2: Convert to fraction form
    6,649.40/9,966.32 = 4,274.45/x
  3. Step 3: Cross multiply
    6,649.40x = 9,966.32 × 4,274.45
  4. Step 4: Simplify right side
    6,649.40x = 42,600,515.15
  5. Step 5: Solve for x
    x = 42,600,515.15/6,649.40
  6. Step 6: Final answer
    x = 6,406.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.