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Finding the Fourth Proportional to 6,506.01, 9,704.19 and 5,453.82

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Solution

The fourth proportional to 6,506.01, 9,704.19 and 5,453.82 is: 8,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.01 : 9,704.19 = 5,453.82 : x
  2. Step 2: Convert to fraction form
    6,506.01/9,704.19 = 5,453.82/x
  3. Step 3: Cross multiply
    6,506.01x = 9,704.19 × 5,453.82
  4. Step 4: Simplify right side
    6,506.01x = 52,924,905.51
  5. Step 5: Solve for x
    x = 52,924,905.51/6,506.01
  6. Step 6: Final answer
    x = 8,134.77

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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.