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Finding the Fourth Proportional to 6,280.64, 9,421.02 and 1,663.64

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Solution

The fourth proportional to 6,280.64, 9,421.02 and 1,663.64 is: 2,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.64 : 9,421.02 = 1,663.64 : x
  2. Step 2: Convert to fraction form
    6,280.64/9,421.02 = 1,663.64/x
  3. Step 3: Cross multiply
    6,280.64x = 9,421.02 × 1,663.64
  4. Step 4: Simplify right side
    6,280.64x = 15,673,185.71
  5. Step 5: Solve for x
    x = 15,673,185.71/6,280.64
  6. Step 6: Final answer
    x = 2,495.48

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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.