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Finding the Fourth Proportional to 9,808.34, 14,704.22 and 4,257.50

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Solution

The fourth proportional to 9,808.34, 14,704.22 and 4,257.50 is: 6,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.34 : 14,704.22 = 4,257.50 : x
  2. Step 2: Convert to fraction form
    9,808.34/14,704.22 = 4,257.50/x
  3. Step 3: Cross multiply
    9,808.34x = 14,704.22 × 4,257.50
  4. Step 4: Simplify right side
    9,808.34x = 62,603,153.77
  5. Step 5: Solve for x
    x = 62,603,153.77/9,808.34
  6. Step 6: Final answer
    x = 6,382.65

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1.5x scale

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.