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Finding the Fourth Proportional to 12,216.94, 16,856.82 and 6,913.06

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Solution

The fourth proportional to 12,216.94, 16,856.82 and 6,913.06 is: 9,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,216.94 : 16,856.82 = 6,913.06 : x
  2. Step 2: Convert to fraction form
    12,216.94/16,856.82 = 6,913.06/x
  3. Step 3: Cross multiply
    12,216.94x = 16,856.82 × 6,913.06
  4. Step 4: Simplify right side
    12,216.94x = 116,532,208.07
  5. Step 5: Solve for x
    x = 116,532,208.07/12,216.94
  6. Step 6: Final answer
    x = 9,538.58

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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.