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Finding the Fourth Proportional to 8,257.02, 11,393.64 and 4,719.48

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Solution

The fourth proportional to 8,257.02, 11,393.64 and 4,719.48 is: 6,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.02 : 11,393.64 = 4,719.48 : x
  2. Step 2: Convert to fraction form
    8,257.02/11,393.64 = 4,719.48/x
  3. Step 3: Cross multiply
    8,257.02x = 11,393.64 × 4,719.48
  4. Step 4: Simplify right side
    8,257.02x = 53,772,056.11
  5. Step 5: Solve for x
    x = 53,772,056.11/8,257.02
  6. Step 6: Final answer
    x = 6,512.28

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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.