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Finding the Fourth Proportional to 9,719.80, 14,580.16 and 3,146.50

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Solution

The fourth proportional to 9,719.80, 14,580.16 and 3,146.50 is: 4,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.80 : 14,580.16 = 3,146.50 : x
  2. Step 2: Convert to fraction form
    9,719.80/14,580.16 = 3,146.50/x
  3. Step 3: Cross multiply
    9,719.80x = 14,580.16 × 3,146.50
  4. Step 4: Simplify right side
    9,719.80x = 45,876,473.44
  5. Step 5: Solve for x
    x = 45,876,473.44/9,719.80
  6. Step 6: Final answer
    x = 4,719.90

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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.