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Finding the Fourth Proportional to 7,102.58, 10,651.71 and 2,484.50

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Solution

The fourth proportional to 7,102.58, 10,651.71 and 2,484.50 is: 3,725.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.58 : 10,651.71 = 2,484.50 : x
  2. Step 2: Convert to fraction form
    7,102.58/10,651.71 = 2,484.50/x
  3. Step 3: Cross multiply
    7,102.58x = 10,651.71 × 2,484.50
  4. Step 4: Simplify right side
    7,102.58x = 26,464,173.50
  5. Step 5: Solve for x
    x = 26,464,173.50/7,102.58
  6. Step 6: Final answer
    x = 3,725.99

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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.