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Finding the Fourth Proportional to 8,194.95, 11,319.48 and 6,875.46

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Solution

The fourth proportional to 8,194.95, 11,319.48 and 6,875.46 is: 9,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.95 : 11,319.48 = 6,875.46 : x
  2. Step 2: Convert to fraction form
    8,194.95/11,319.48 = 6,875.46/x
  3. Step 3: Cross multiply
    8,194.95x = 11,319.48 × 6,875.46
  4. Step 4: Simplify right side
    8,194.95x = 77,826,631.96
  5. Step 5: Solve for x
    x = 77,826,631.96/8,194.95
  6. Step 6: Final answer
    x = 9,496.90

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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.