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Finding the Fourth Proportional to 9,753.40, 14,647.11 and 8,645.32

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Solution

The fourth proportional to 9,753.40, 14,647.11 and 8,645.32 is: 12,983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.40 : 14,647.11 = 8,645.32 : x
  2. Step 2: Convert to fraction form
    9,753.40/14,647.11 = 8,645.32/x
  3. Step 3: Cross multiply
    9,753.40x = 14,647.11 × 8,645.32
  4. Step 4: Simplify right side
    9,753.40x = 126,628,953.03
  5. Step 5: Solve for x
    x = 126,628,953.03/9,753.40
  6. Step 6: Final answer
    x = 12,983.06

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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.