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Finding the Fourth Proportional to 11,888.21, 16,405.72 and 6,583.02

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Solution

The fourth proportional to 11,888.21, 16,405.72 and 6,583.02 is: 9,084.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.21 : 16,405.72 = 6,583.02 : x
  2. Step 2: Convert to fraction form
    11,888.21/16,405.72 = 6,583.02/x
  3. Step 3: Cross multiply
    11,888.21x = 16,405.72 × 6,583.02
  4. Step 4: Simplify right side
    11,888.21x = 107,999,182.87
  5. Step 5: Solve for x
    x = 107,999,182.87/11,888.21
  6. Step 6: Final answer
    x = 9,084.56

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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.