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Finding the Fourth Proportional to 6,596.82, 9,892.80 and 5,564.10

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Solution

The fourth proportional to 6,596.82, 9,892.80 and 5,564.10 is: 8,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.82 : 9,892.80 = 5,564.10 : x
  2. Step 2: Convert to fraction form
    6,596.82/9,892.80 = 5,564.10/x
  3. Step 3: Cross multiply
    6,596.82x = 9,892.80 × 5,564.10
  4. Step 4: Simplify right side
    6,596.82x = 55,044,528.48
  5. Step 5: Solve for x
    x = 55,044,528.48/6,596.82
  6. Step 6: Final answer
    x = 8,344.10

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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.