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Finding the Fourth Proportional to 10,263.84, 15,380.10 and 5,335.08

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Solution

The fourth proportional to 10,263.84, 15,380.10 and 5,335.08 is: 7,994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.84 : 15,380.10 = 5,335.08 : x
  2. Step 2: Convert to fraction form
    10,263.84/15,380.10 = 5,335.08/x
  3. Step 3: Cross multiply
    10,263.84x = 15,380.10 × 5,335.08
  4. Step 4: Simplify right side
    10,263.84x = 82,054,063.91
  5. Step 5: Solve for x
    x = 82,054,063.91/10,263.84
  6. Step 6: Final answer
    x = 7,994.48

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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.