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Finding the Fourth Proportional to 12,295.65, 16,967.50 and 7,261.49

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Solution

The fourth proportional to 12,295.65, 16,967.50 and 7,261.49 is: 10,020.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.65 : 16,967.50 = 7,261.49 : x
  2. Step 2: Convert to fraction form
    12,295.65/16,967.50 = 7,261.49/x
  3. Step 3: Cross multiply
    12,295.65x = 16,967.50 × 7,261.49
  4. Step 4: Simplify right side
    12,295.65x = 123,209,355.84
  5. Step 5: Solve for x
    x = 123,209,355.84/12,295.65
  6. Step 6: Final answer
    x = 10,020.56

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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.