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Finding the Fourth Proportional to 11,888.58, 16,406.37 and 6,583.49

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Solution

The fourth proportional to 11,888.58, 16,406.37 and 6,583.49 is: 9,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.58 : 16,406.37 = 6,583.49 : x
  2. Step 2: Convert to fraction form
    11,888.58/16,406.37 = 6,583.49/x
  3. Step 3: Cross multiply
    11,888.58x = 16,406.37 × 6,583.49
  4. Step 4: Simplify right side
    11,888.58x = 108,011,090.80
  5. Step 5: Solve for x
    x = 108,011,090.80/11,888.58
  6. Step 6: Final answer
    x = 9,085.28

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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.