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Finding the Fourth Proportional to 6,509.40, 9,764.07 and 5,030.77

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Solution

The fourth proportional to 6,509.40, 9,764.07 and 5,030.77 is: 7,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.40 : 9,764.07 = 5,030.77 : x
  2. Step 2: Convert to fraction form
    6,509.40/9,764.07 = 5,030.77/x
  3. Step 3: Cross multiply
    6,509.40x = 9,764.07 × 5,030.77
  4. Step 4: Simplify right side
    6,509.40x = 49,120,790.43
  5. Step 5: Solve for x
    x = 49,120,790.43/6,509.40
  6. Step 6: Final answer
    x = 7,546.13

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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.