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Finding the Fourth Proportional to 4,489.89, 6,735.98 and 4,415.50

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Solution

The fourth proportional to 4,489.89, 6,735.98 and 4,415.50 is: 6,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.89 : 6,735.98 = 4,415.50 : x
  2. Step 2: Convert to fraction form
    4,489.89/6,735.98 = 4,415.50/x
  3. Step 3: Cross multiply
    4,489.89x = 6,735.98 × 4,415.50
  4. Step 4: Simplify right side
    4,489.89x = 29,742,719.69
  5. Step 5: Solve for x
    x = 29,742,719.69/4,489.89
  6. Step 6: Final answer
    x = 6,624.38

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1.5x scale

Why These Related Problems?

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