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Finding the Fourth Proportional to 12,670.65, 17,486.00 and 8,414.37

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Solution

The fourth proportional to 12,670.65, 17,486.00 and 8,414.37 is: 11,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.65 : 17,486.00 = 8,414.37 : x
  2. Step 2: Convert to fraction form
    12,670.65/17,486.00 = 8,414.37/x
  3. Step 3: Cross multiply
    12,670.65x = 17,486.00 × 8,414.37
  4. Step 4: Simplify right side
    12,670.65x = 147,133,663.30
  5. Step 5: Solve for x
    x = 147,133,663.30/12,670.65
  6. Step 6: Final answer
    x = 11,612.16

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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.