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Finding the Fourth Proportional to 7,947.60, 11,897.10 and 7,072.80

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Solution

The fourth proportional to 7,947.60, 11,897.10 and 7,072.80 is: 10,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947.60 : 11,897.10 = 7,072.80 : x
  2. Step 2: Convert to fraction form
    7,947.60/11,897.10 = 7,072.80/x
  3. Step 3: Cross multiply
    7,947.60x = 11,897.10 × 7,072.80
  4. Step 4: Simplify right side
    7,947.60x = 84,145,808.88
  5. Step 5: Solve for x
    x = 84,145,808.88/7,947.60
  6. Step 6: Final answer
    x = 10,587.57

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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.