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Finding the Fourth Proportional to 9,491.66, 14,242.62 and 3,948.83

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Solution

The fourth proportional to 9,491.66, 14,242.62 and 3,948.83 is: 5,925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.66 : 14,242.62 = 3,948.83 : x
  2. Step 2: Convert to fraction form
    9,491.66/14,242.62 = 3,948.83/x
  3. Step 3: Cross multiply
    9,491.66x = 14,242.62 × 3,948.83
  4. Step 4: Simplify right side
    9,491.66x = 56,241,613.92
  5. Step 5: Solve for x
    x = 56,241,613.92/9,491.66
  6. Step 6: Final answer
    x = 5,925.37

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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.