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Finding the Fourth Proportional to 9,710.88, 13,384.60 and 8,026.89

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Solution

The fourth proportional to 9,710.88, 13,384.60 and 8,026.89 is: 11,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.88 : 13,384.60 = 8,026.89 : x
  2. Step 2: Convert to fraction form
    9,710.88/13,384.60 = 8,026.89/x
  3. Step 3: Cross multiply
    9,710.88x = 13,384.60 × 8,026.89
  4. Step 4: Simplify right side
    9,710.88x = 107,436,711.89
  5. Step 5: Solve for x
    x = 107,436,711.89/9,710.88
  6. Step 6: Final answer
    x = 11,063.54

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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.