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Finding the Fourth Proportional to 6,384.64, 9,575.01 and 5,132.26

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Solution

The fourth proportional to 6,384.64, 9,575.01 and 5,132.26 is: 7,696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.64 : 9,575.01 = 5,132.26 : x
  2. Step 2: Convert to fraction form
    6,384.64/9,575.01 = 5,132.26/x
  3. Step 3: Cross multiply
    6,384.64x = 9,575.01 × 5,132.26
  4. Step 4: Simplify right side
    6,384.64x = 49,141,440.82
  5. Step 5: Solve for x
    x = 49,141,440.82/6,384.64
  6. Step 6: Final answer
    x = 7,696.82

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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.