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Finding the Fourth Proportional to 6,277.76, 9,416.64 and 2,117

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Solution

The fourth proportional to 6,277.76, 9,416.64 and 2,117 is: 3,175.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.76 : 9,416.64 = 2,117 : x
  2. Step 2: Convert to fraction form
    6,277.76/9,416.64 = 2,117/x
  3. Step 3: Cross multiply
    6,277.76x = 9,416.64 × 2,117
  4. Step 4: Simplify right side
    6,277.76x = 19,935,026.88
  5. Step 5: Solve for x
    x = 19,935,026.88/6,277.76
  6. Step 6: Final answer
    x = 3,175.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.