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Finding the Fourth Proportional to 8,423.67, 11,624.58 and 4,647

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Solution

The fourth proportional to 8,423.67, 11,624.58 and 4,647 is: 6,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.67 : 11,624.58 = 4,647 : x
  2. Step 2: Convert to fraction form
    8,423.67/11,624.58 = 4,647/x
  3. Step 3: Cross multiply
    8,423.67x = 11,624.58 × 4,647
  4. Step 4: Simplify right side
    8,423.67x = 54,019,423.26
  5. Step 5: Solve for x
    x = 54,019,423.26/8,423.67
  6. Step 6: Final answer
    x = 6,412.81

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1.5x scale

Why These Related Problems?

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