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Finding the Fourth Proportional to 11,668.60, 16,104.23 and 7,420.08

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Solution

The fourth proportional to 11,668.60, 16,104.23 and 7,420.08 is: 10,240.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.60 : 16,104.23 = 7,420.08 : x
  2. Step 2: Convert to fraction form
    11,668.60/16,104.23 = 7,420.08/x
  3. Step 3: Cross multiply
    11,668.60x = 16,104.23 × 7,420.08
  4. Step 4: Simplify right side
    11,668.60x = 119,494,674.94
  5. Step 5: Solve for x
    x = 119,494,674.94/11,668.60
  6. Step 6: Final answer
    x = 10,240.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.