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Finding the Fourth Proportional to 9,624.70, 14,450.32 and 6,655.78

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Solution

The fourth proportional to 9,624.70, 14,450.32 and 6,655.78 is: 9,992.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.70 : 14,450.32 = 6,655.78 : x
  2. Step 2: Convert to fraction form
    9,624.70/14,450.32 = 6,655.78/x
  3. Step 3: Cross multiply
    9,624.70x = 14,450.32 × 6,655.78
  4. Step 4: Simplify right side
    9,624.70x = 96,178,150.85
  5. Step 5: Solve for x
    x = 96,178,150.85/9,624.70
  6. Step 6: Final answer
    x = 9,992.85

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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.