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Finding the Fourth Proportional to 9,606.81, 14,419.20 and 5,916.24

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Solution

The fourth proportional to 9,606.81, 14,419.20 and 5,916.24 is: 8,879.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.81 : 14,419.20 = 5,916.24 : x
  2. Step 2: Convert to fraction form
    9,606.81/14,419.20 = 5,916.24/x
  3. Step 3: Cross multiply
    9,606.81x = 14,419.20 × 5,916.24
  4. Step 4: Simplify right side
    9,606.81x = 85,307,447.81
  5. Step 5: Solve for x
    x = 85,307,447.81/9,606.81
  6. Step 6: Final answer
    x = 8,879.89

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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.