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Finding the Fourth Proportional to 6,570.81, 9,860.54 and 3,106.17

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Solution

The fourth proportional to 6,570.81, 9,860.54 and 3,106.17 is: 4,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.81 : 9,860.54 = 3,106.17 : x
  2. Step 2: Convert to fraction form
    6,570.81/9,860.54 = 3,106.17/x
  3. Step 3: Cross multiply
    6,570.81x = 9,860.54 × 3,106.17
  4. Step 4: Simplify right side
    6,570.81x = 30,628,498.00
  5. Step 5: Solve for x
    x = 30,628,498.00/6,570.81
  6. Step 6: Final answer
    x = 4,661.30

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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.