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Finding the Fourth Proportional to 6,486.41, 9,741.90 and 4,038.32

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Solution

The fourth proportional to 6,486.41, 9,741.90 and 4,038.32 is: 6,065.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.41 : 9,741.90 = 4,038.32 : x
  2. Step 2: Convert to fraction form
    6,486.41/9,741.90 = 4,038.32/x
  3. Step 3: Cross multiply
    6,486.41x = 9,741.90 × 4,038.32
  4. Step 4: Simplify right side
    6,486.41x = 39,340,949.11
  5. Step 5: Solve for x
    x = 39,340,949.11/6,486.41
  6. Step 6: Final answer
    x = 6,065.13

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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.