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Finding the Fourth Proportional to 6,521.51, 9,782.36 and 1,591.25

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Solution

The fourth proportional to 6,521.51, 9,782.36 and 1,591.25 is: 2,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.51 : 9,782.36 = 1,591.25 : x
  2. Step 2: Convert to fraction form
    6,521.51/9,782.36 = 1,591.25/x
  3. Step 3: Cross multiply
    6,521.51x = 9,782.36 × 1,591.25
  4. Step 4: Simplify right side
    6,521.51x = 15,566,135.42
  5. Step 5: Solve for x
    x = 15,566,135.42/6,521.51
  6. Step 6: Final answer
    x = 2,386.89

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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.