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Finding the Fourth Proportional to 6,215.16, 9,322.74 and 1,598.16

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Solution

The fourth proportional to 6,215.16, 9,322.74 and 1,598.16 is: 2,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.16 : 9,322.74 = 1,598.16 : x
  2. Step 2: Convert to fraction form
    6,215.16/9,322.74 = 1,598.16/x
  3. Step 3: Cross multiply
    6,215.16x = 9,322.74 × 1,598.16
  4. Step 4: Simplify right side
    6,215.16x = 14,899,230.16
  5. Step 5: Solve for x
    x = 14,899,230.16/6,215.16
  6. Step 6: Final answer
    x = 2,397.24

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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.