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Finding the Fourth Proportional to 6,414.71, 9,575.62 and 5,542.81

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Solution

The fourth proportional to 6,414.71, 9,575.62 and 5,542.81 is: 8,274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.71 : 9,575.62 = 5,542.81 : x
  2. Step 2: Convert to fraction form
    6,414.71/9,575.62 = 5,542.81/x
  3. Step 3: Cross multiply
    6,414.71x = 9,575.62 × 5,542.81
  4. Step 4: Simplify right side
    6,414.71x = 53,075,804.50
  5. Step 5: Solve for x
    x = 53,075,804.50/6,414.71
  6. Step 6: Final answer
    x = 8,274.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.