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Finding the Fourth Proportional to 6,505.35, 9,758.05 and 1,574.98

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Solution

The fourth proportional to 6,505.35, 9,758.05 and 1,574.98 is: 2,362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.35 : 9,758.05 = 1,574.98 : x
  2. Step 2: Convert to fraction form
    6,505.35/9,758.05 = 1,574.98/x
  3. Step 3: Cross multiply
    6,505.35x = 9,758.05 × 1,574.98
  4. Step 4: Simplify right side
    6,505.35x = 15,368,741.85
  5. Step 5: Solve for x
    x = 15,368,741.85/6,505.35
  6. Step 6: Final answer
    x = 2,362.48

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