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Finding the Fourth Proportional to 7,154.84, 10,730.33 and 2,994

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Solution

The fourth proportional to 7,154.84, 10,730.33 and 2,994 is: 4,490.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.84 : 10,730.33 = 2,994 : x
  2. Step 2: Convert to fraction form
    7,154.84/10,730.33 = 2,994/x
  3. Step 3: Cross multiply
    7,154.84x = 10,730.33 × 2,994
  4. Step 4: Simplify right side
    7,154.84x = 32,126,608.02
  5. Step 5: Solve for x
    x = 32,126,608.02/7,154.84
  6. Step 6: Final answer
    x = 4,490.19

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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.