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Finding the Fourth Proportional to 9,851.98, 14,777.97 and 6,571.48

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Solution

The fourth proportional to 9,851.98, 14,777.97 and 6,571.48 is: 9,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.98 : 14,777.97 = 6,571.48 : x
  2. Step 2: Convert to fraction form
    9,851.98/14,777.97 = 6,571.48/x
  3. Step 3: Cross multiply
    9,851.98x = 14,777.97 × 6,571.48
  4. Step 4: Simplify right side
    9,851.98x = 97,113,134.30
  5. Step 5: Solve for x
    x = 97,113,134.30/9,851.98
  6. Step 6: Final answer
    x = 9,857.22

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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.