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Finding the Fourth Proportional to 25,712.50, 38,571.81 and 9,069.08

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Solution

The fourth proportional to 25,712.50, 38,571.81 and 9,069.08 is: 13,604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712.50 : 38,571.81 = 9,069.08 : x
  2. Step 2: Convert to fraction form
    25,712.50/38,571.81 = 9,069.08/x
  3. Step 3: Cross multiply
    25,712.50x = 38,571.81 × 9,069.08
  4. Step 4: Simplify right side
    25,712.50x = 349,810,830.63
  5. Step 5: Solve for x
    x = 349,810,830.63/25,712.50
  6. Step 6: Final answer
    x = 13,604.70

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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.