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Finding the Fourth Proportional to 25,216.66, 37,825 and 7,686.34

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Solution

The fourth proportional to 25,216.66, 37,825 and 7,686.34 is: 11,529.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,216.66 : 37,825 = 7,686.34 : x
  2. Step 2: Convert to fraction form
    25,216.66/37,825 = 7,686.34/x
  3. Step 3: Cross multiply
    25,216.66x = 37,825 × 7,686.34
  4. Step 4: Simplify right side
    25,216.66x = 290,735,810.50
  5. Step 5: Solve for x
    x = 290,735,810.50/25,216.66
  6. Step 6: Final answer
    x = 11,529.51

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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.