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Finding the Fourth Proportional to 10,548.80, 14,544.96 and 8,024.48

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Solution

The fourth proportional to 10,548.80, 14,544.96 and 8,024.48 is: 11,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,548.80 : 14,544.96 = 8,024.48 : x
  2. Step 2: Convert to fraction form
    10,548.80/14,544.96 = 8,024.48/x
  3. Step 3: Cross multiply
    10,548.80x = 14,544.96 × 8,024.48
  4. Step 4: Simplify right side
    10,548.80x = 116,715,740.62
  5. Step 5: Solve for x
    x = 116,715,740.62/10,548.80
  6. Step 6: Final answer
    x = 11,064.36

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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.