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Finding the Fourth Proportional to 8,252.64, 11,384.64 and 5,460.48

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Solution

The fourth proportional to 8,252.64, 11,384.64 and 5,460.48 is: 7,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.64 : 11,384.64 = 5,460.48 : x
  2. Step 2: Convert to fraction form
    8,252.64/11,384.64 = 5,460.48/x
  3. Step 3: Cross multiply
    8,252.64x = 11,384.64 × 5,460.48
  4. Step 4: Simplify right side
    8,252.64x = 62,165,599.03
  5. Step 5: Solve for x
    x = 62,165,599.03/8,252.64
  6. Step 6: Final answer
    x = 7,532.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.