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Finding the Fourth Proportional to 11,889.84, 16,407.24 and 6,583.68

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Solution

The fourth proportional to 11,889.84, 16,407.24 and 6,583.68 is: 9,085.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.84 : 16,407.24 = 6,583.68 : x
  2. Step 2: Convert to fraction form
    11,889.84/16,407.24 = 6,583.68/x
  3. Step 3: Cross multiply
    11,889.84x = 16,407.24 × 6,583.68
  4. Step 4: Simplify right side
    11,889.84x = 108,020,017.84
  5. Step 5: Solve for x
    x = 108,020,017.84/11,889.84
  6. Step 6: Final answer
    x = 9,085.07

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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.