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Finding the Fourth Proportional to 6,970.38, 9,619.32 and 3,826.77

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Solution

The fourth proportional to 6,970.38, 9,619.32 and 3,826.77 is: 5,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.38 : 9,619.32 = 3,826.77 : x
  2. Step 2: Convert to fraction form
    6,970.38/9,619.32 = 3,826.77/x
  3. Step 3: Cross multiply
    6,970.38x = 9,619.32 × 3,826.77
  4. Step 4: Simplify right side
    6,970.38x = 36,810,925.20
  5. Step 5: Solve for x
    x = 36,810,925.20/6,970.38
  6. Step 6: Final answer
    x = 5,281.05

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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.