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Finding the Fourth Proportional to 9,385.22, 14,068.11 and 7,724.32

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Solution

The fourth proportional to 9,385.22, 14,068.11 and 7,724.32 is: 11,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.22 : 14,068.11 = 7,724.32 : x
  2. Step 2: Convert to fraction form
    9,385.22/14,068.11 = 7,724.32/x
  3. Step 3: Cross multiply
    9,385.22x = 14,068.11 × 7,724.32
  4. Step 4: Simplify right side
    9,385.22x = 108,666,577.23
  5. Step 5: Solve for x
    x = 108,666,577.23/9,385.22
  6. Step 6: Final answer
    x = 11,578.48

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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.