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Finding the Fourth Proportional to 7,758.03, 11,577.10 and 6,927.39

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Solution

The fourth proportional to 7,758.03, 11,577.10 and 6,927.39 is: 10,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.03 : 11,577.10 = 6,927.39 : x
  2. Step 2: Convert to fraction form
    7,758.03/11,577.10 = 6,927.39/x
  3. Step 3: Cross multiply
    7,758.03x = 11,577.10 × 6,927.39
  4. Step 4: Simplify right side
    7,758.03x = 80,199,069.45
  5. Step 5: Solve for x
    x = 80,199,069.45/7,758.03
  6. Step 6: Final answer
    x = 10,337.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.