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Finding the Fourth Proportional to 8,498.58, 11,724.75 and 6,265.77

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Solution

The fourth proportional to 8,498.58, 11,724.75 and 6,265.77 is: 8,644.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.58 : 11,724.75 = 6,265.77 : x
  2. Step 2: Convert to fraction form
    8,498.58/11,724.75 = 6,265.77/x
  3. Step 3: Cross multiply
    8,498.58x = 11,724.75 × 6,265.77
  4. Step 4: Simplify right side
    8,498.58x = 73,464,586.81
  5. Step 5: Solve for x
    x = 73,464,586.81/8,498.58
  6. Step 6: Final answer
    x = 8,644.34

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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.