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Finding the Fourth Proportional to 6,845, 9,442.32 and 4,602.92

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Solution

The fourth proportional to 6,845, 9,442.32 and 4,602.92 is: 6,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845 : 9,442.32 = 4,602.92 : x
  2. Step 2: Convert to fraction form
    6,845/9,442.32 = 4,602.92/x
  3. Step 3: Cross multiply
    6,845x = 9,442.32 × 4,602.92
  4. Step 4: Simplify right side
    6,845x = 43,462,243.57
  5. Step 5: Solve for x
    x = 43,462,243.57/6,845
  6. Step 6: Final answer
    x = 6,349.49

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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.