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Finding the Fourth Proportional to 7,174.58, 9,906.45 and 5,783.54

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Solution

The fourth proportional to 7,174.58, 9,906.45 and 5,783.54 is: 7,985.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.58 : 9,906.45 = 5,783.54 : x
  2. Step 2: Convert to fraction form
    7,174.58/9,906.45 = 5,783.54/x
  3. Step 3: Cross multiply
    7,174.58x = 9,906.45 × 5,783.54
  4. Step 4: Simplify right side
    7,174.58x = 57,294,349.83
  5. Step 5: Solve for x
    x = 57,294,349.83/7,174.58
  6. Step 6: Final answer
    x = 7,985.74

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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.