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Finding the Fourth Proportional to 9,624.64, 14,437.50 and 2,699.68

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Solution

The fourth proportional to 9,624.64, 14,437.50 and 2,699.68 is: 4,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.64 : 14,437.50 = 2,699.68 : x
  2. Step 2: Convert to fraction form
    9,624.64/14,437.50 = 2,699.68/x
  3. Step 3: Cross multiply
    9,624.64x = 14,437.50 × 2,699.68
  4. Step 4: Simplify right side
    9,624.64x = 38,976,630
  5. Step 5: Solve for x
    x = 38,976,630/9,624.64
  6. Step 6: Final answer
    x = 4,049.67

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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.