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Finding the Fourth Proportional to 12,497.37, 17,247 and 7,192.95

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Solution

The fourth proportional to 12,497.37, 17,247 and 7,192.95 is: 9,926.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.37 : 17,247 = 7,192.95 : x
  2. Step 2: Convert to fraction form
    12,497.37/17,247 = 7,192.95/x
  3. Step 3: Cross multiply
    12,497.37x = 17,247 × 7,192.95
  4. Step 4: Simplify right side
    12,497.37x = 124,056,808.65
  5. Step 5: Solve for x
    x = 124,056,808.65/12,497.37
  6. Step 6: Final answer
    x = 9,926.63

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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.