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Finding the Fourth Proportional to 6,994, 10,492.62 and 2,377

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Solution

The fourth proportional to 6,994, 10,492.62 and 2,377 is: 3,566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994 : 10,492.62 = 2,377 : x
  2. Step 2: Convert to fraction form
    6,994/10,492.62 = 2,377/x
  3. Step 3: Cross multiply
    6,994x = 10,492.62 × 2,377
  4. Step 4: Simplify right side
    6,994x = 24,940,957.74
  5. Step 5: Solve for x
    x = 24,940,957.74/6,994
  6. Step 6: Final answer
    x = 3,566.05

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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.