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Finding the Fourth Proportional to 9,758.46, 14,639.88 and 4,561.50

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Solution

The fourth proportional to 9,758.46, 14,639.88 and 4,561.50 is: 6,843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.46 : 14,639.88 = 4,561.50 : x
  2. Step 2: Convert to fraction form
    9,758.46/14,639.88 = 4,561.50/x
  3. Step 3: Cross multiply
    9,758.46x = 14,639.88 × 4,561.50
  4. Step 4: Simplify right side
    9,758.46x = 66,779,812.62
  5. Step 5: Solve for x
    x = 66,779,812.62/9,758.46
  6. Step 6: Final answer
    x = 6,843.27

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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.