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Finding the Fourth Proportional to 7,673.11, 11,453.65 and 6,584.47

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Solution

The fourth proportional to 7,673.11, 11,453.65 and 6,584.47 is: 9,828.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.11 : 11,453.65 = 6,584.47 : x
  2. Step 2: Convert to fraction form
    7,673.11/11,453.65 = 6,584.47/x
  3. Step 3: Cross multiply
    7,673.11x = 11,453.65 × 6,584.47
  4. Step 4: Simplify right side
    7,673.11x = 75,416,214.82
  5. Step 5: Solve for x
    x = 75,416,214.82/7,673.11
  6. Step 6: Final answer
    x = 9,828.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.