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Finding the Fourth Proportional to 11,895.66, 17,765.40 and 9,559.23

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Solution

The fourth proportional to 11,895.66, 17,765.40 and 9,559.23 is: 14,276.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.66 : 17,765.40 = 9,559.23 : x
  2. Step 2: Convert to fraction form
    11,895.66/17,765.40 = 9,559.23/x
  3. Step 3: Cross multiply
    11,895.66x = 17,765.40 × 9,559.23
  4. Step 4: Simplify right side
    11,895.66x = 169,823,544.64
  5. Step 5: Solve for x
    x = 169,823,544.64/11,895.66
  6. Step 6: Final answer
    x = 14,276.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.