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Finding the Fourth Proportional to 11,605.16, 17,402.02 and 4,208.51

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Solution

The fourth proportional to 11,605.16, 17,402.02 and 4,208.51 is: 6,310.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.16 : 17,402.02 = 4,208.51 : x
  2. Step 2: Convert to fraction form
    11,605.16/17,402.02 = 4,208.51/x
  3. Step 3: Cross multiply
    11,605.16x = 17,402.02 × 4,208.51
  4. Step 4: Simplify right side
    11,605.16x = 73,236,575.19
  5. Step 5: Solve for x
    x = 73,236,575.19/11,605.16
  6. Step 6: Final answer
    x = 6,310.69

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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.