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Finding the Fourth Proportional to 9,673.60, 14,511.68 and 3,097.60

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Solution

The fourth proportional to 9,673.60, 14,511.68 and 3,097.60 is: 4,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.60 : 14,511.68 = 3,097.60 : x
  2. Step 2: Convert to fraction form
    9,673.60/14,511.68 = 3,097.60/x
  3. Step 3: Cross multiply
    9,673.60x = 14,511.68 × 3,097.60
  4. Step 4: Simplify right side
    9,673.60x = 44,951,379.97
  5. Step 5: Solve for x
    x = 44,951,379.97/9,673.60
  6. Step 6: Final answer
    x = 4,646.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.