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Finding the Fourth Proportional to 6,528.65, 9,792.98 and 1,598.22

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Solution

The fourth proportional to 6,528.65, 9,792.98 and 1,598.22 is: 2,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.65 : 9,792.98 = 1,598.22 : x
  2. Step 2: Convert to fraction form
    6,528.65/9,792.98 = 1,598.22/x
  3. Step 3: Cross multiply
    6,528.65x = 9,792.98 × 1,598.22
  4. Step 4: Simplify right side
    6,528.65x = 15,651,316.23
  5. Step 5: Solve for x
    x = 15,651,316.23/6,528.65
  6. Step 6: Final answer
    x = 2,397.33

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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.