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Finding the Fourth Proportional to 25,705.46, 38,552.84 and 9,905.06

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Solution

The fourth proportional to 25,705.46, 38,552.84 and 9,905.06 is: 14,855.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,705.46 : 38,552.84 = 9,905.06 : x
  2. Step 2: Convert to fraction form
    25,705.46/38,552.84 = 9,905.06/x
  3. Step 3: Cross multiply
    25,705.46x = 38,552.84 × 9,905.06
  4. Step 4: Simplify right side
    25,705.46x = 381,868,193.37
  5. Step 5: Solve for x
    x = 381,868,193.37/25,705.46
  6. Step 6: Final answer
    x = 14,855.53

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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.