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Finding the Fourth Proportional to 6,597.77, 9,872.84 and 5,684.24

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Solution

The fourth proportional to 6,597.77, 9,872.84 and 5,684.24 is: 8,505.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.77 : 9,872.84 = 5,684.24 : x
  2. Step 2: Convert to fraction form
    6,597.77/9,872.84 = 5,684.24/x
  3. Step 3: Cross multiply
    6,597.77x = 9,872.84 × 5,684.24
  4. Step 4: Simplify right side
    6,597.77x = 56,119,592.04
  5. Step 5: Solve for x
    x = 56,119,592.04/6,597.77
  6. Step 6: Final answer
    x = 8,505.84

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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.