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Finding the Fourth Proportional to 12,827.10, 17,705.43 and 7,524.06

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Solution

The fourth proportional to 12,827.10, 17,705.43 and 7,524.06 is: 10,385.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.10 : 17,705.43 = 7,524.06 : x
  2. Step 2: Convert to fraction form
    12,827.10/17,705.43 = 7,524.06/x
  3. Step 3: Cross multiply
    12,827.10x = 17,705.43 × 7,524.06
  4. Step 4: Simplify right side
    12,827.10x = 133,216,717.65
  5. Step 5: Solve for x
    x = 133,216,717.65/12,827.10
  6. Step 6: Final answer
    x = 10,385.57

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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.