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Finding the Fourth Proportional to 6,509.50, 9,754.39 and 4,310.35

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Solution

The fourth proportional to 6,509.50, 9,754.39 and 4,310.35 is: 6,459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.50 : 9,754.39 = 4,310.35 : x
  2. Step 2: Convert to fraction form
    6,509.50/9,754.39 = 4,310.35/x
  3. Step 3: Cross multiply
    6,509.50x = 9,754.39 × 4,310.35
  4. Step 4: Simplify right side
    6,509.50x = 42,044,834.94
  5. Step 5: Solve for x
    x = 42,044,834.94/6,509.50
  6. Step 6: Final answer
    x = 6,459.00

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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.