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Finding the Fourth Proportional to 10,624.84, 14,662.02 and 6,147.97

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Solution

The fourth proportional to 10,624.84, 14,662.02 and 6,147.97 is: 8,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.84 : 14,662.02 = 6,147.97 : x
  2. Step 2: Convert to fraction form
    10,624.84/14,662.02 = 6,147.97/x
  3. Step 3: Cross multiply
    10,624.84x = 14,662.02 × 6,147.97
  4. Step 4: Simplify right side
    10,624.84x = 90,141,659.10
  5. Step 5: Solve for x
    x = 90,141,659.10/10,624.84
  6. Step 6: Final answer
    x = 8,484.05

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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.