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Finding the Fourth Proportional to 6,562.80, 9,054.72 and 4,200.84

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Solution

The fourth proportional to 6,562.80, 9,054.72 and 4,200.84 is: 5,795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.80 : 9,054.72 = 4,200.84 : x
  2. Step 2: Convert to fraction form
    6,562.80/9,054.72 = 4,200.84/x
  3. Step 3: Cross multiply
    6,562.80x = 9,054.72 × 4,200.84
  4. Step 4: Simplify right side
    6,562.80x = 38,037,429.96
  5. Step 5: Solve for x
    x = 38,037,429.96/6,562.80
  6. Step 6: Final answer
    x = 5,795.91

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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.