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Finding the Fourth Proportional to 12,827.60, 17,706.12 and 7,524.56

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Solution

The fourth proportional to 12,827.60, 17,706.12 and 7,524.56 is: 10,386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.60 : 17,706.12 = 7,524.56 : x
  2. Step 2: Convert to fraction form
    12,827.60/17,706.12 = 7,524.56/x
  3. Step 3: Cross multiply
    12,827.60x = 17,706.12 × 7,524.56
  4. Step 4: Simplify right side
    12,827.60x = 133,230,762.31
  5. Step 5: Solve for x
    x = 133,230,762.31/12,827.60
  6. Step 6: Final answer
    x = 10,386.26

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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.