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Finding the Fourth Proportional to 6,562.59, 9,056.18 and 3,578.48

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Solution

The fourth proportional to 6,562.59, 9,056.18 and 3,578.48 is: 4,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.59 : 9,056.18 = 3,578.48 : x
  2. Step 2: Convert to fraction form
    6,562.59/9,056.18 = 3,578.48/x
  3. Step 3: Cross multiply
    6,562.59x = 9,056.18 × 3,578.48
  4. Step 4: Simplify right side
    6,562.59x = 32,407,394.15
  5. Step 5: Solve for x
    x = 32,407,394.15/6,562.59
  6. Step 6: Final answer
    x = 4,938.20

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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.