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Finding the Fourth Proportional to 8,173.98, 12,264.75 and 6,322.32

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Solution

The fourth proportional to 8,173.98, 12,264.75 and 6,322.32 is: 9,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.98 : 12,264.75 = 6,322.32 : x
  2. Step 2: Convert to fraction form
    8,173.98/12,264.75 = 6,322.32/x
  3. Step 3: Cross multiply
    8,173.98x = 12,264.75 × 6,322.32
  4. Step 4: Simplify right side
    8,173.98x = 77,541,674.22
  5. Step 5: Solve for x
    x = 77,541,674.22/8,173.98
  6. Step 6: Final answer
    x = 9,486.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.