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Finding the Fourth Proportional to 10,365.98, 14,305.43 and 5,890.49

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Solution

The fourth proportional to 10,365.98, 14,305.43 and 5,890.49 is: 8,129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.98 : 14,305.43 = 5,890.49 : x
  2. Step 2: Convert to fraction form
    10,365.98/14,305.43 = 5,890.49/x
  3. Step 3: Cross multiply
    10,365.98x = 14,305.43 × 5,890.49
  4. Step 4: Simplify right side
    10,365.98x = 84,265,891.38
  5. Step 5: Solve for x
    x = 84,265,891.38/10,365.98
  6. Step 6: Final answer
    x = 8,129.08

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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.