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Finding the Fourth Proportional to 10,592.82, 14,624.82 and 6,817.41

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Solution

The fourth proportional to 10,592.82, 14,624.82 and 6,817.41 is: 9,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.82 : 14,624.82 = 6,817.41 : x
  2. Step 2: Convert to fraction form
    10,592.82/14,624.82 = 6,817.41/x
  3. Step 3: Cross multiply
    10,592.82x = 14,624.82 × 6,817.41
  4. Step 4: Simplify right side
    10,592.82x = 99,703,394.12
  5. Step 5: Solve for x
    x = 99,703,394.12/10,592.82
  6. Step 6: Final answer
    x = 9,412.36

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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.