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Finding the Fourth Proportional to 6,527.12, 9,735.86 and 5,936.63

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Solution

The fourth proportional to 6,527.12, 9,735.86 and 5,936.63 is: 8,855.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.12 : 9,735.86 = 5,936.63 : x
  2. Step 2: Convert to fraction form
    6,527.12/9,735.86 = 5,936.63/x
  3. Step 3: Cross multiply
    6,527.12x = 9,735.86 × 5,936.63
  4. Step 4: Simplify right side
    6,527.12x = 57,798,164.71
  5. Step 5: Solve for x
    x = 57,798,164.71/6,527.12
  6. Step 6: Final answer
    x = 8,855.09

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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.