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Finding the Fourth Proportional to 11,670.50, 16,118.73 and 8,497.98

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Solution

The fourth proportional to 11,670.50, 16,118.73 and 8,497.98 is: 11,737.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.50 : 16,118.73 = 8,497.98 : x
  2. Step 2: Convert to fraction form
    11,670.50/16,118.73 = 8,497.98/x
  3. Step 3: Cross multiply
    11,670.50x = 16,118.73 × 8,497.98
  4. Step 4: Simplify right side
    11,670.50x = 136,976,645.17
  5. Step 5: Solve for x
    x = 136,976,645.17/11,670.50
  6. Step 6: Final answer
    x = 11,737.00

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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.