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Finding the Fourth Proportional to 7,837.50, 11,811.27 and 7,058.37

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Solution

The fourth proportional to 7,837.50, 11,811.27 and 7,058.37 is: 10,637.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837.50 : 11,811.27 = 7,058.37 : x
  2. Step 2: Convert to fraction form
    7,837.50/11,811.27 = 7,058.37/x
  3. Step 3: Cross multiply
    7,837.50x = 11,811.27 × 7,058.37
  4. Step 4: Simplify right side
    7,837.50x = 83,368,313.83
  5. Step 5: Solve for x
    x = 83,368,313.83/7,837.50
  6. Step 6: Final answer
    x = 10,637.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.