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Finding the Fourth Proportional to 11,673.59, 17,509.94 and 6,411.05

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Solution

The fourth proportional to 11,673.59, 17,509.94 and 6,411.05 is: 9,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.59 : 17,509.94 = 6,411.05 : x
  2. Step 2: Convert to fraction form
    11,673.59/17,509.94 = 6,411.05/x
  3. Step 3: Cross multiply
    11,673.59x = 17,509.94 × 6,411.05
  4. Step 4: Simplify right side
    11,673.59x = 112,257,070.94
  5. Step 5: Solve for x
    x = 112,257,070.94/11,673.59
  6. Step 6: Final answer
    x = 9,616.33

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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.