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Finding the Fourth Proportional to 9,612.98, 14,355.70 and 8,299.97

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Solution

The fourth proportional to 9,612.98, 14,355.70 and 8,299.97 is: 12,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.98 : 14,355.70 = 8,299.97 : x
  2. Step 2: Convert to fraction form
    9,612.98/14,355.70 = 8,299.97/x
  3. Step 3: Cross multiply
    9,612.98x = 14,355.70 × 8,299.97
  4. Step 4: Simplify right side
    9,612.98x = 119,151,837.83
  5. Step 5: Solve for x
    x = 119,151,837.83/9,612.98
  6. Step 6: Final answer
    x = 12,394.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.