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Finding the Fourth Proportional to 7,573.76, 11,349.12 and 6,788.48

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Solution

The fourth proportional to 7,573.76, 11,349.12 and 6,788.48 is: 10,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.76 : 11,349.12 = 6,788.48 : x
  2. Step 2: Convert to fraction form
    7,573.76/11,349.12 = 6,788.48/x
  3. Step 3: Cross multiply
    7,573.76x = 11,349.12 × 6,788.48
  4. Step 4: Simplify right side
    7,573.76x = 77,043,274.14
  5. Step 5: Solve for x
    x = 77,043,274.14/7,573.76
  6. Step 6: Final answer
    x = 10,172.39

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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.