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Finding the Fourth Proportional to 10,906.66, 16,359.08 and 4,331.08

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Solution

The fourth proportional to 10,906.66, 16,359.08 and 4,331.08 is: 6,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.66 : 16,359.08 = 4,331.08 : x
  2. Step 2: Convert to fraction form
    10,906.66/16,359.08 = 4,331.08/x
  3. Step 3: Cross multiply
    10,906.66x = 16,359.08 × 4,331.08
  4. Step 4: Simplify right side
    10,906.66x = 70,852,421.65
  5. Step 5: Solve for x
    x = 70,852,421.65/10,906.66
  6. Step 6: Final answer
    x = 6,496.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.