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Finding the Fourth Proportional to 6,434.73, 9,609.28 and 6,365.15

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Solution

The fourth proportional to 6,434.73, 9,609.28 and 6,365.15 is: 9,505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.73 : 9,609.28 = 6,365.15 : x
  2. Step 2: Convert to fraction form
    6,434.73/9,609.28 = 6,365.15/x
  3. Step 3: Cross multiply
    6,434.73x = 9,609.28 × 6,365.15
  4. Step 4: Simplify right side
    6,434.73x = 61,164,507.69
  5. Step 5: Solve for x
    x = 61,164,507.69/6,434.73
  6. Step 6: Final answer
    x = 9,505.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.