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Finding the Fourth Proportional to 11,646.50, 17,443.02 and 7,429.64

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Solution

The fourth proportional to 11,646.50, 17,443.02 and 7,429.64 is: 11,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.50 : 17,443.02 = 7,429.64 : x
  2. Step 2: Convert to fraction form
    11,646.50/17,443.02 = 7,429.64/x
  3. Step 3: Cross multiply
    11,646.50x = 17,443.02 × 7,429.64
  4. Step 4: Simplify right side
    11,646.50x = 129,595,359.11
  5. Step 5: Solve for x
    x = 129,595,359.11/11,646.50
  6. Step 6: Final answer
    x = 11,127.41

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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.