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Finding the Fourth Proportional to 11,798.10, 16,281 and 6,493.32

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Solution

The fourth proportional to 11,798.10, 16,281 and 6,493.32 is: 8,960.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.10 : 16,281 = 6,493.32 : x
  2. Step 2: Convert to fraction form
    11,798.10/16,281 = 6,493.32/x
  3. Step 3: Cross multiply
    11,798.10x = 16,281 × 6,493.32
  4. Step 4: Simplify right side
    11,798.10x = 105,717,742.92
  5. Step 5: Solve for x
    x = 105,717,742.92/11,798.10
  6. Step 6: Final answer
    x = 8,960.57

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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.