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Finding the Fourth Proportional to 9,687.98, 13,373.48 and 6,548.42

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Solution

The fourth proportional to 9,687.98, 13,373.48 and 6,548.42 is: 9,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.98 : 13,373.48 = 6,548.42 : x
  2. Step 2: Convert to fraction form
    9,687.98/13,373.48 = 6,548.42/x
  3. Step 3: Cross multiply
    9,687.98x = 13,373.48 × 6,548.42
  4. Step 4: Simplify right side
    9,687.98x = 87,575,131.16
  5. Step 5: Solve for x
    x = 87,575,131.16/9,687.98
  6. Step 6: Final answer
    x = 9,039.57

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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.