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Finding the Fourth Proportional to 12,284.25, 16,952.25 and 6,695.25

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Solution

The fourth proportional to 12,284.25, 16,952.25 and 6,695.25 is: 9,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284.25 : 16,952.25 = 6,695.25 : x
  2. Step 2: Convert to fraction form
    12,284.25/16,952.25 = 6,695.25/x
  3. Step 3: Cross multiply
    12,284.25x = 16,952.25 × 6,695.25
  4. Step 4: Simplify right side
    12,284.25x = 113,499,551.81
  5. Step 5: Solve for x
    x = 113,499,551.81/12,284.25
  6. Step 6: Final answer
    x = 9,239.44

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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.