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Finding the Fourth Proportional to 17,574.75, 26,365.77 and 7,186.50

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Solution

The fourth proportional to 17,574.75, 26,365.77 and 7,186.50 is: 10,781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,574.75 : 26,365.77 = 7,186.50 : x
  2. Step 2: Convert to fraction form
    17,574.75/26,365.77 = 7,186.50/x
  3. Step 3: Cross multiply
    17,574.75x = 26,365.77 × 7,186.50
  4. Step 4: Simplify right side
    17,574.75x = 189,477,606.11
  5. Step 5: Solve for x
    x = 189,477,606.11/17,574.75
  6. Step 6: Final answer
    x = 10,781.24

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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.