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Finding the Fourth Proportional to 11,953.37, 16,494.22 and 6,919.17

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Solution

The fourth proportional to 11,953.37, 16,494.22 and 6,919.17 is: 9,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.37 : 16,494.22 = 6,919.17 : x
  2. Step 2: Convert to fraction form
    11,953.37/16,494.22 = 6,919.17/x
  3. Step 3: Cross multiply
    11,953.37x = 16,494.22 × 6,919.17
  4. Step 4: Simplify right side
    11,953.37x = 114,126,312.85
  5. Step 5: Solve for x
    x = 114,126,312.85/11,953.37
  6. Step 6: Final answer
    x = 9,547.62

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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.