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Finding the Fourth Proportional to 17,583, 26,373.12 and 7,722.36

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Solution

The fourth proportional to 17,583, 26,373.12 and 7,722.36 is: 11,582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,583 : 26,373.12 = 7,722.36 : x
  2. Step 2: Convert to fraction form
    17,583/26,373.12 = 7,722.36/x
  3. Step 3: Cross multiply
    17,583x = 26,373.12 × 7,722.36
  4. Step 4: Simplify right side
    17,583x = 203,662,726.96
  5. Step 5: Solve for x
    x = 203,662,726.96/17,583
  6. Step 6: Final answer
    x = 11,582.93

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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.