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Finding the Fourth Proportional to 6,522.77, 9,784.70 and 1,842.80

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Solution

The fourth proportional to 6,522.77, 9,784.70 and 1,842.80 is: 2,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.77 : 9,784.70 = 1,842.80 : x
  2. Step 2: Convert to fraction form
    6,522.77/9,784.70 = 1,842.80/x
  3. Step 3: Cross multiply
    6,522.77x = 9,784.70 × 1,842.80
  4. Step 4: Simplify right side
    6,522.77x = 18,031,200.84
  5. Step 5: Solve for x
    x = 18,031,200.84/6,522.77
  6. Step 6: Final answer
    x = 2,764.35

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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.