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Finding the Fourth Proportional to 8,498.34, 11,724.42 and 6,265.50

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Solution

The fourth proportional to 8,498.34, 11,724.42 and 6,265.50 is: 8,643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.34 : 11,724.42 = 6,265.50 : x
  2. Step 2: Convert to fraction form
    8,498.34/11,724.42 = 6,265.50/x
  3. Step 3: Cross multiply
    8,498.34x = 11,724.42 × 6,265.50
  4. Step 4: Simplify right side
    8,498.34x = 73,459,353.51
  5. Step 5: Solve for x
    x = 73,459,353.51/8,498.34
  6. Step 6: Final answer
    x = 8,643.96

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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.