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Finding the Fourth Proportional to 11,679.61, 16,117.88 and 6,374.74

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Solution

The fourth proportional to 11,679.61, 16,117.88 and 6,374.74 is: 8,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.61 : 16,117.88 = 6,374.74 : x
  2. Step 2: Convert to fraction form
    11,679.61/16,117.88 = 6,374.74/x
  3. Step 3: Cross multiply
    11,679.61x = 16,117.88 × 6,374.74
  4. Step 4: Simplify right side
    11,679.61x = 102,747,222.18
  5. Step 5: Solve for x
    x = 102,747,222.18/11,679.61
  6. Step 6: Final answer
    x = 8,797.15

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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.