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Finding the Fourth Proportional to 9,548.66, 14,216.05 and 9,502.49

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Solution

The fourth proportional to 9,548.66, 14,216.05 and 9,502.49 is: 14,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.66 : 14,216.05 = 9,502.49 : x
  2. Step 2: Convert to fraction form
    9,548.66/14,216.05 = 9,502.49/x
  3. Step 3: Cross multiply
    9,548.66x = 14,216.05 × 9,502.49
  4. Step 4: Simplify right side
    9,548.66x = 135,087,872.96
  5. Step 5: Solve for x
    x = 135,087,872.96/9,548.66
  6. Step 6: Final answer
    x = 14,147.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.