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Finding the Fourth Proportional to 10,542.89, 14,548.62 and 5,826.89

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Solution

The fourth proportional to 10,542.89, 14,548.62 and 5,826.89 is: 8,040.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.89 : 14,548.62 = 5,826.89 : x
  2. Step 2: Convert to fraction form
    10,542.89/14,548.62 = 5,826.89/x
  3. Step 3: Cross multiply
    10,542.89x = 14,548.62 × 5,826.89
  4. Step 4: Simplify right side
    10,542.89x = 84,773,208.39
  5. Step 5: Solve for x
    x = 84,773,208.39/10,542.89
  6. Step 6: Final answer
    x = 8,040.79

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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.