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Finding the Fourth Proportional to 6,544.09, 9,030.71 and 3,560

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Solution

The fourth proportional to 6,544.09, 9,030.71 and 3,560 is: 4,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.09 : 9,030.71 = 3,560 : x
  2. Step 2: Convert to fraction form
    6,544.09/9,030.71 = 3,560/x
  3. Step 3: Cross multiply
    6,544.09x = 9,030.71 × 3,560
  4. Step 4: Simplify right side
    6,544.09x = 32,149,327.60
  5. Step 5: Solve for x
    x = 32,149,327.60/6,544.09
  6. Step 6: Final answer
    x = 4,912.73

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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.