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Finding the Fourth Proportional to 11,602.99, 16,011.72 and 6,297.70

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Solution

The fourth proportional to 11,602.99, 16,011.72 and 6,297.70 is: 8,690.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.99 : 16,011.72 = 6,297.70 : x
  2. Step 2: Convert to fraction form
    11,602.99/16,011.72 = 6,297.70/x
  3. Step 3: Cross multiply
    11,602.99x = 16,011.72 × 6,297.70
  4. Step 4: Simplify right side
    11,602.99x = 100,837,009.04
  5. Step 5: Solve for x
    x = 100,837,009.04/11,602.99
  6. Step 6: Final answer
    x = 8,690.61

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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.