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Finding the Fourth Proportional to 6,993.84, 10,492.29 and 3,045.72

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Solution

The fourth proportional to 6,993.84, 10,492.29 and 3,045.72 is: 4,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.84 : 10,492.29 = 3,045.72 : x
  2. Step 2: Convert to fraction form
    6,993.84/10,492.29 = 3,045.72/x
  3. Step 3: Cross multiply
    6,993.84x = 10,492.29 × 3,045.72
  4. Step 4: Simplify right side
    6,993.84x = 31,956,577.50
  5. Step 5: Solve for x
    x = 31,956,577.50/6,993.84
  6. Step 6: Final answer
    x = 4,569.25

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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.