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Finding the Fourth Proportional to 6,515.46, 9,773.21 and 4,576.32

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Solution

The fourth proportional to 6,515.46, 9,773.21 and 4,576.32 is: 6,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.46 : 9,773.21 = 4,576.32 : x
  2. Step 2: Convert to fraction form
    6,515.46/9,773.21 = 4,576.32/x
  3. Step 3: Cross multiply
    6,515.46x = 9,773.21 × 4,576.32
  4. Step 4: Simplify right side
    6,515.46x = 44,725,313.51
  5. Step 5: Solve for x
    x = 44,725,313.51/6,515.46
  6. Step 6: Final answer
    x = 6,864.49

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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.