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Finding the Fourth Proportional to 6,705.03, 10,051.47 and 4,102.50

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Solution

The fourth proportional to 6,705.03, 10,051.47 and 4,102.50 is: 6,150.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.03 : 10,051.47 = 4,102.50 : x
  2. Step 2: Convert to fraction form
    6,705.03/10,051.47 = 4,102.50/x
  3. Step 3: Cross multiply
    6,705.03x = 10,051.47 × 4,102.50
  4. Step 4: Simplify right side
    6,705.03x = 41,236,155.68
  5. Step 5: Solve for x
    x = 41,236,155.68/6,705.03
  6. Step 6: Final answer
    x = 6,150.03

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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.