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Finding the Fourth Proportional to 9,874.71, 14,814.48 and 6,958.71

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Solution

The fourth proportional to 9,874.71, 14,814.48 and 6,958.71 is: 10,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.71 : 14,814.48 = 6,958.71 : x
  2. Step 2: Convert to fraction form
    9,874.71/14,814.48 = 6,958.71/x
  3. Step 3: Cross multiply
    9,874.71x = 14,814.48 × 6,958.71
  4. Step 4: Simplify right side
    9,874.71x = 103,089,670.12
  5. Step 5: Solve for x
    x = 103,089,670.12/9,874.71
  6. Step 6: Final answer
    x = 10,439.77

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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.