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Finding the Fourth Proportional to 6,214.64, 9,262 and 6,162.96

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Solution

The fourth proportional to 6,214.64, 9,262 and 6,162.96 is: 9,184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.64 : 9,262 = 6,162.96 : x
  2. Step 2: Convert to fraction form
    6,214.64/9,262 = 6,162.96/x
  3. Step 3: Cross multiply
    6,214.64x = 9,262 × 6,162.96
  4. Step 4: Simplify right side
    6,214.64x = 57,081,335.52
  5. Step 5: Solve for x
    x = 57,081,335.52/6,214.64
  6. Step 6: Final answer
    x = 9,184.98

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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.