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Finding the Fourth Proportional to 9,791.78, 14,681.27 and 6,449.92

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Solution

The fourth proportional to 9,791.78, 14,681.27 and 6,449.92 is: 9,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.78 : 14,681.27 = 6,449.92 : x
  2. Step 2: Convert to fraction form
    9,791.78/14,681.27 = 6,449.92/x
  3. Step 3: Cross multiply
    9,791.78x = 14,681.27 × 6,449.92
  4. Step 4: Simplify right side
    9,791.78x = 94,692,996.42
  5. Step 5: Solve for x
    x = 94,692,996.42/9,791.78
  6. Step 6: Final answer
    x = 9,670.67

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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.