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Finding the Fourth Proportional to 12,245.40, 16,898.64 and 6,656.40

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Solution

The fourth proportional to 12,245.40, 16,898.64 and 6,656.40 is: 9,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245.40 : 16,898.64 = 6,656.40 : x
  2. Step 2: Convert to fraction form
    12,245.40/16,898.64 = 6,656.40/x
  3. Step 3: Cross multiply
    12,245.40x = 16,898.64 × 6,656.40
  4. Step 4: Simplify right side
    12,245.40x = 112,484,107.30
  5. Step 5: Solve for x
    x = 112,484,107.30/12,245.40
  6. Step 6: Final answer
    x = 9,185.83

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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.