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Finding the Fourth Proportional to 25,548.84, 38,328.12 and 9,965.25

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Solution

The fourth proportional to 25,548.84, 38,328.12 and 9,965.25 is: 14,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,548.84 : 38,328.12 = 9,965.25 : x
  2. Step 2: Convert to fraction form
    25,548.84/38,328.12 = 9,965.25/x
  3. Step 3: Cross multiply
    25,548.84x = 38,328.12 × 9,965.25
  4. Step 4: Simplify right side
    25,548.84x = 381,949,297.83
  5. Step 5: Solve for x
    x = 381,949,297.83/25,548.84
  6. Step 6: Final answer
    x = 14,949.77

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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.