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Finding the Fourth Proportional to 6,582, 9,877.86 and 3,119.25

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Solution

The fourth proportional to 6,582, 9,877.86 and 3,119.25 is: 4,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582 : 9,877.86 = 3,119.25 : x
  2. Step 2: Convert to fraction form
    6,582/9,877.86 = 3,119.25/x
  3. Step 3: Cross multiply
    6,582x = 9,877.86 × 3,119.25
  4. Step 4: Simplify right side
    6,582x = 30,811,514.81
  5. Step 5: Solve for x
    x = 30,811,514.81/6,582
  6. Step 6: Final answer
    x = 4,681.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.