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Finding the Fourth Proportional to 10,396.64, 15,577.36 and 6,284

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Solution

The fourth proportional to 10,396.64, 15,577.36 and 6,284 is: 9,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.64 : 15,577.36 = 6,284 : x
  2. Step 2: Convert to fraction form
    10,396.64/15,577.36 = 6,284/x
  3. Step 3: Cross multiply
    10,396.64x = 15,577.36 × 6,284
  4. Step 4: Simplify right side
    10,396.64x = 97,888,130.24
  5. Step 5: Solve for x
    x = 97,888,130.24/10,396.64
  6. Step 6: Final answer
    x = 9,415.36

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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.