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Finding the Fourth Proportional to 11,798.88, 16,282.50 and 8,968.74

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Solution

The fourth proportional to 11,798.88, 16,282.50 and 8,968.74 is: 12,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.88 : 16,282.50 = 8,968.74 : x
  2. Step 2: Convert to fraction form
    11,798.88/16,282.50 = 8,968.74/x
  3. Step 3: Cross multiply
    11,798.88x = 16,282.50 × 8,968.74
  4. Step 4: Simplify right side
    11,798.88x = 146,033,509.05
  5. Step 5: Solve for x
    x = 146,033,509.05/11,798.88
  6. Step 6: Final answer
    x = 12,376.90

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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.