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Finding the Fourth Proportional to 6,562.56, 9,056.19 and 3,578.42

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Solution

The fourth proportional to 6,562.56, 9,056.19 and 3,578.42 is: 4,938.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.56 : 9,056.19 = 3,578.42 : x
  2. Step 2: Convert to fraction form
    6,562.56/9,056.19 = 3,578.42/x
  3. Step 3: Cross multiply
    6,562.56x = 9,056.19 × 3,578.42
  4. Step 4: Simplify right side
    6,562.56x = 32,406,876.08
  5. Step 5: Solve for x
    x = 32,406,876.08/6,562.56
  6. Step 6: Final answer
    x = 4,938.15

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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.