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Finding the Fourth Proportional to 12,263.81, 16,922.86 and 6,958.58

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Solution

The fourth proportional to 12,263.81, 16,922.86 and 6,958.58 is: 9,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,263.81 : 16,922.86 = 6,958.58 : x
  2. Step 2: Convert to fraction form
    12,263.81/16,922.86 = 6,958.58/x
  3. Step 3: Cross multiply
    12,263.81x = 16,922.86 × 6,958.58
  4. Step 4: Simplify right side
    12,263.81x = 117,758,973.13
  5. Step 5: Solve for x
    x = 117,758,973.13/12,263.81
  6. Step 6: Final answer
    x = 9,602.16

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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.