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Finding the Fourth Proportional to 9,758.88, 14,623.20 and 4,558.68

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Solution

The fourth proportional to 9,758.88, 14,623.20 and 4,558.68 is: 6,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.88 : 14,623.20 = 4,558.68 : x
  2. Step 2: Convert to fraction form
    9,758.88/14,623.20 = 4,558.68/x
  3. Step 3: Cross multiply
    9,758.88x = 14,623.20 × 4,558.68
  4. Step 4: Simplify right side
    9,758.88x = 66,662,489.38
  5. Step 5: Solve for x
    x = 66,662,489.38/9,758.88
  6. Step 6: Final answer
    x = 6,830.96

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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.