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Finding the Fourth Proportional to 11,888.38, 16,405.76 and 6,583.08

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Solution

The fourth proportional to 11,888.38, 16,405.76 and 6,583.08 is: 9,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.38 : 16,405.76 = 6,583.08 : x
  2. Step 2: Convert to fraction form
    11,888.38/16,405.76 = 6,583.08/x
  3. Step 3: Cross multiply
    11,888.38x = 16,405.76 × 6,583.08
  4. Step 4: Simplify right side
    11,888.38x = 108,000,315.60
  5. Step 5: Solve for x
    x = 108,000,315.60/11,888.38
  6. Step 6: Final answer
    x = 9,084.53

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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.