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Finding the Fourth Proportional to 6,570.60, 9,858.18 and 4,102.50

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Solution

The fourth proportional to 6,570.60, 9,858.18 and 4,102.50 is: 6,155.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.60 : 9,858.18 = 4,102.50 : x
  2. Step 2: Convert to fraction form
    6,570.60/9,858.18 = 4,102.50/x
  3. Step 3: Cross multiply
    6,570.60x = 9,858.18 × 4,102.50
  4. Step 4: Simplify right side
    6,570.60x = 40,443,183.45
  5. Step 5: Solve for x
    x = 40,443,183.45/6,570.60
  6. Step 6: Final answer
    x = 6,155.17

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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.