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Finding the Fourth Proportional to 12,295.80, 16,967.72 and 7,261.64

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Solution

The fourth proportional to 12,295.80, 16,967.72 and 7,261.64 is: 10,020.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.80 : 16,967.72 = 7,261.64 : x
  2. Step 2: Convert to fraction form
    12,295.80/16,967.72 = 7,261.64/x
  3. Step 3: Cross multiply
    12,295.80x = 16,967.72 × 7,261.64
  4. Step 4: Simplify right side
    12,295.80x = 123,213,396.29
  5. Step 5: Solve for x
    x = 123,213,396.29/12,295.80
  6. Step 6: Final answer
    x = 10,020.77

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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.