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Finding the Fourth Proportional to 11,693.95, 16,132.03 and 8,502.30

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Solution

The fourth proportional to 11,693.95, 16,132.03 and 8,502.30 is: 11,729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.95 : 16,132.03 = 8,502.30 : x
  2. Step 2: Convert to fraction form
    11,693.95/16,132.03 = 8,502.30/x
  3. Step 3: Cross multiply
    11,693.95x = 16,132.03 × 8,502.30
  4. Step 4: Simplify right side
    11,693.95x = 137,159,337.41
  5. Step 5: Solve for x
    x = 137,159,337.41/11,693.95
  6. Step 6: Final answer
    x = 11,729.09

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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.