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Finding the Fourth Proportional to 12,083.84, 16,666.08 and 9,984.32

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Solution

The fourth proportional to 12,083.84, 16,666.08 and 9,984.32 is: 13,770.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.84 : 16,666.08 = 9,984.32 : x
  2. Step 2: Convert to fraction form
    12,083.84/16,666.08 = 9,984.32/x
  3. Step 3: Cross multiply
    12,083.84x = 16,666.08 × 9,984.32
  4. Step 4: Simplify right side
    12,083.84x = 166,399,475.87
  5. Step 5: Solve for x
    x = 166,399,475.87/12,083.84
  6. Step 6: Final answer
    x = 13,770.41

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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.