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Finding the Fourth Proportional to 7,808.84, 10,758.12 and 5,446.88

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Solution

The fourth proportional to 7,808.84, 10,758.12 and 5,446.88 is: 7,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.84 : 10,758.12 = 5,446.88 : x
  2. Step 2: Convert to fraction form
    7,808.84/10,758.12 = 5,446.88/x
  3. Step 3: Cross multiply
    7,808.84x = 10,758.12 × 5,446.88
  4. Step 4: Simplify right side
    7,808.84x = 58,598,188.67
  5. Step 5: Solve for x
    x = 58,598,188.67/7,808.84
  6. Step 6: Final answer
    x = 7,504.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.