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Finding the Fourth Proportional to 14,262.99, 19,683 and 8,294.96

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Solution

The fourth proportional to 14,262.99, 19,683 and 8,294.96 is: 11,447.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.99 : 19,683 = 8,294.96 : x
  2. Step 2: Convert to fraction form
    14,262.99/19,683 = 8,294.96/x
  3. Step 3: Cross multiply
    14,262.99x = 19,683 × 8,294.96
  4. Step 4: Simplify right side
    14,262.99x = 163,269,636.17
  5. Step 5: Solve for x
    x = 163,269,636.17/14,262.99
  6. Step 6: Final answer
    x = 11,447.09

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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.