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Finding the Fourth Proportional to 25,707, 38,563.56 and 9,063.57

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Solution

The fourth proportional to 25,707, 38,563.56 and 9,063.57 is: 13,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,707 : 38,563.56 = 9,063.57 : x
  2. Step 2: Convert to fraction form
    25,707/38,563.56 = 9,063.57/x
  3. Step 3: Cross multiply
    25,707x = 38,563.56 × 9,063.57
  4. Step 4: Simplify right side
    25,707x = 349,523,525.51
  5. Step 5: Solve for x
    x = 349,523,525.51/25,707
  6. Step 6: Final answer
    x = 13,596.43

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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.