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Finding the Fourth Proportional to 12,770.65, 17,623.16 and 7,105.11

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Solution

The fourth proportional to 12,770.65, 17,623.16 and 7,105.11 is: 9,804.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.65 : 17,623.16 = 7,105.11 : x
  2. Step 2: Convert to fraction form
    12,770.65/17,623.16 = 7,105.11/x
  3. Step 3: Cross multiply
    12,770.65x = 17,623.16 × 7,105.11
  4. Step 4: Simplify right side
    12,770.65x = 125,214,490.35
  5. Step 5: Solve for x
    x = 125,214,490.35/12,770.65
  6. Step 6: Final answer
    x = 9,804.86

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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.