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Finding the Fourth Proportional to 12,257.04, 16,914.32 and 6,952.40

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Solution

The fourth proportional to 12,257.04, 16,914.32 and 6,952.40 is: 9,594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.04 : 16,914.32 = 6,952.40 : x
  2. Step 2: Convert to fraction form
    12,257.04/16,914.32 = 6,952.40/x
  3. Step 3: Cross multiply
    12,257.04x = 16,914.32 × 6,952.40
  4. Step 4: Simplify right side
    12,257.04x = 117,595,118.37
  5. Step 5: Solve for x
    x = 117,595,118.37/12,257.04
  6. Step 6: Final answer
    x = 9,594.09

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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.