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Finding the Fourth Proportional to 12,283, 16,951.02 and 7,317.88

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Solution

The fourth proportional to 12,283, 16,951.02 and 7,317.88 is: 10,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283 : 16,951.02 = 7,317.88 : x
  2. Step 2: Convert to fraction form
    12,283/16,951.02 = 7,317.88/x
  3. Step 3: Cross multiply
    12,283x = 16,951.02 × 7,317.88
  4. Step 4: Simplify right side
    12,283x = 124,045,530.24
  5. Step 5: Solve for x
    x = 124,045,530.24/12,283
  6. Step 6: Final answer
    x = 10,098.96

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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.