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Finding the Fourth Proportional to 6,944, 9,582.74 and 4,464.32

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Solution

The fourth proportional to 6,944, 9,582.74 and 4,464.32 is: 6,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944 : 9,582.74 = 4,464.32 : x
  2. Step 2: Convert to fraction form
    6,944/9,582.74 = 4,464.32/x
  3. Step 3: Cross multiply
    6,944x = 9,582.74 × 4,464.32
  4. Step 4: Simplify right side
    6,944x = 42,780,417.84
  5. Step 5: Solve for x
    x = 42,780,417.84/6,944
  6. Step 6: Final answer
    x = 6,160.77

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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.