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Finding the Fourth Proportional to 11,666.30, 17,461.05 and 8,210.30

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Solution

The fourth proportional to 11,666.30, 17,461.05 and 8,210.30 is: 12,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.30 : 17,461.05 = 8,210.30 : x
  2. Step 2: Convert to fraction form
    11,666.30/17,461.05 = 8,210.30/x
  3. Step 3: Cross multiply
    11,666.30x = 17,461.05 × 8,210.30
  4. Step 4: Simplify right side
    11,666.30x = 143,360,458.82
  5. Step 5: Solve for x
    x = 143,360,458.82/11,666.30
  6. Step 6: Final answer
    x = 12,288.43

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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.