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Finding the Fourth Proportional to 15,668.90, 23,491.02 and 7,765.98

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Solution

The fourth proportional to 15,668.90, 23,491.02 and 7,765.98 is: 11,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,668.90 : 23,491.02 = 7,765.98 : x
  2. Step 2: Convert to fraction form
    15,668.90/23,491.02 = 7,765.98/x
  3. Step 3: Cross multiply
    15,668.90x = 23,491.02 × 7,765.98
  4. Step 4: Simplify right side
    15,668.90x = 182,430,791.50
  5. Step 5: Solve for x
    x = 182,430,791.50/15,668.90
  6. Step 6: Final answer
    x = 11,642.86

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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.