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Finding the Fourth Proportional to 6,527.80, 9,774.42 and 3,443.32

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Solution

The fourth proportional to 6,527.80, 9,774.42 and 3,443.32 is: 5,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.80 : 9,774.42 = 3,443.32 : x
  2. Step 2: Convert to fraction form
    6,527.80/9,774.42 = 3,443.32/x
  3. Step 3: Cross multiply
    6,527.80x = 9,774.42 × 3,443.32
  4. Step 4: Simplify right side
    6,527.80x = 33,656,455.87
  5. Step 5: Solve for x
    x = 33,656,455.87/6,527.80
  6. Step 6: Final answer
    x = 5,155.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.