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Finding the Fourth Proportional to 9,900.80, 13,663.02 and 5,424.46

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Solution

The fourth proportional to 9,900.80, 13,663.02 and 5,424.46 is: 7,485.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.80 : 13,663.02 = 5,424.46 : x
  2. Step 2: Convert to fraction form
    9,900.80/13,663.02 = 5,424.46/x
  3. Step 3: Cross multiply
    9,900.80x = 13,663.02 × 5,424.46
  4. Step 4: Simplify right side
    9,900.80x = 74,114,505.47
  5. Step 5: Solve for x
    x = 74,114,505.47/9,900.80
  6. Step 6: Final answer
    x = 7,485.71

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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.