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Finding the Fourth Proportional to 11,803.98, 16,289.94 and 6,498.66

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Solution

The fourth proportional to 11,803.98, 16,289.94 and 6,498.66 is: 8,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.98 : 16,289.94 = 6,498.66 : x
  2. Step 2: Convert to fraction form
    11,803.98/16,289.94 = 6,498.66/x
  3. Step 3: Cross multiply
    11,803.98x = 16,289.94 × 6,498.66
  4. Step 4: Simplify right side
    11,803.98x = 105,862,781.48
  5. Step 5: Solve for x
    x = 105,862,781.48/11,803.98
  6. Step 6: Final answer
    x = 8,968.40

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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.