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Finding the Fourth Proportional to 17,706.40, 26,559.60 and 7,835.20

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Solution

The fourth proportional to 17,706.40, 26,559.60 and 7,835.20 is: 11,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.40 : 26,559.60 = 7,835.20 : x
  2. Step 2: Convert to fraction form
    17,706.40/26,559.60 = 7,835.20/x
  3. Step 3: Cross multiply
    17,706.40x = 26,559.60 × 7,835.20
  4. Step 4: Simplify right side
    17,706.40x = 208,099,777.92
  5. Step 5: Solve for x
    x = 208,099,777.92/17,706.40
  6. Step 6: Final answer
    x = 11,752.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.