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Finding the Fourth Proportional to 6,456.58, 9,628.05 and 5,945.37

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Solution

The fourth proportional to 6,456.58, 9,628.05 and 5,945.37 is: 8,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.58 : 9,628.05 = 5,945.37 : x
  2. Step 2: Convert to fraction form
    6,456.58/9,628.05 = 5,945.37/x
  3. Step 3: Cross multiply
    6,456.58x = 9,628.05 × 5,945.37
  4. Step 4: Simplify right side
    6,456.58x = 57,242,272.38
  5. Step 5: Solve for x
    x = 57,242,272.38/6,456.58
  6. Step 6: Final answer
    x = 8,865.73

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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.