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Finding the Fourth Proportional to 27,668.90, 41,503.35 and 7,946.30

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Solution

The fourth proportional to 27,668.90, 41,503.35 and 7,946.30 is: 11,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,668.90 : 41,503.35 = 7,946.30 : x
  2. Step 2: Convert to fraction form
    27,668.90/41,503.35 = 7,946.30/x
  3. Step 3: Cross multiply
    27,668.90x = 41,503.35 × 7,946.30
  4. Step 4: Simplify right side
    27,668.90x = 329,798,070.11
  5. Step 5: Solve for x
    x = 329,798,070.11/27,668.90
  6. Step 6: Final answer
    x = 11,919.45

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Similar ratio
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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.