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Finding the Fourth Proportional to 7,584.69, 11,364.61 and 7,296.69

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Solution

The fourth proportional to 7,584.69, 11,364.61 and 7,296.69 is: 10,933.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.69 : 11,364.61 = 7,296.69 : x
  2. Step 2: Convert to fraction form
    7,584.69/11,364.61 = 7,296.69/x
  3. Step 3: Cross multiply
    7,584.69x = 11,364.61 × 7,296.69
  4. Step 4: Simplify right side
    7,584.69x = 82,924,036.14
  5. Step 5: Solve for x
    x = 82,924,036.14/7,584.69
  6. Step 6: Final answer
    x = 10,933.08

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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.