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Finding the Fourth Proportional to 25,985.12, 38,981.12 and 8,449

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Solution

The fourth proportional to 25,985.12, 38,981.12 and 8,449 is: 12,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,985.12 : 38,981.12 = 8,449 : x
  2. Step 2: Convert to fraction form
    25,985.12/38,981.12 = 8,449/x
  3. Step 3: Cross multiply
    25,985.12x = 38,981.12 × 8,449
  4. Step 4: Simplify right side
    25,985.12x = 329,351,482.88
  5. Step 5: Solve for x
    x = 329,351,482.88/25,985.12
  6. Step 6: Final answer
    x = 12,674.62

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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.