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Finding the Fourth Proportional to 11,657.99, 16,094.12 and 9,065.18

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Solution

The fourth proportional to 11,657.99, 16,094.12 and 9,065.18 is: 12,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.99 : 16,094.12 = 9,065.18 : x
  2. Step 2: Convert to fraction form
    11,657.99/16,094.12 = 9,065.18/x
  3. Step 3: Cross multiply
    11,657.99x = 16,094.12 × 9,065.18
  4. Step 4: Simplify right side
    11,657.99x = 145,896,049.42
  5. Step 5: Solve for x
    x = 145,896,049.42/11,657.99
  6. Step 6: Final answer
    x = 12,514.68

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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.