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Finding the Fourth Proportional to 11,884.96, 17,807.28 and 7,258.24

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Solution

The fourth proportional to 11,884.96, 17,807.28 and 7,258.24 is: 10,875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.96 : 17,807.28 = 7,258.24 : x
  2. Step 2: Convert to fraction form
    11,884.96/17,807.28 = 7,258.24/x
  3. Step 3: Cross multiply
    11,884.96x = 17,807.28 × 7,258.24
  4. Step 4: Simplify right side
    11,884.96x = 129,249,511.99
  5. Step 5: Solve for x
    x = 129,249,511.99/11,884.96
  6. Step 6: Final answer
    x = 10,875.05

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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.