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Finding the Fourth Proportional to 6,527.76, 9,773.28 and 5,912.64

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Solution

The fourth proportional to 6,527.76, 9,773.28 and 5,912.64 is: 8,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.76 : 9,773.28 = 5,912.64 : x
  2. Step 2: Convert to fraction form
    6,527.76/9,773.28 = 5,912.64/x
  3. Step 3: Cross multiply
    6,527.76x = 9,773.28 × 5,912.64
  4. Step 4: Simplify right side
    6,527.76x = 57,785,886.26
  5. Step 5: Solve for x
    x = 57,785,886.26/6,527.76
  6. Step 6: Final answer
    x = 8,852.33

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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.