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Finding the Fourth Proportional to 10,542.93, 14,548.01 and 5,826.93

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Solution

The fourth proportional to 10,542.93, 14,548.01 and 5,826.93 is: 8,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.93 : 14,548.01 = 5,826.93 : x
  2. Step 2: Convert to fraction form
    10,542.93/14,548.01 = 5,826.93/x
  3. Step 3: Cross multiply
    10,542.93x = 14,548.01 × 5,826.93
  4. Step 4: Simplify right side
    10,542.93x = 84,770,206.77
  5. Step 5: Solve for x
    x = 84,770,206.77/10,542.93
  6. Step 6: Final answer
    x = 8,040.48

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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.