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Finding the Fourth Proportional to 9,753.12, 14,626.72 and 8,193.60

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Solution

The fourth proportional to 9,753.12, 14,626.72 and 8,193.60 is: 12,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.12 : 14,626.72 = 8,193.60 : x
  2. Step 2: Convert to fraction form
    9,753.12/14,626.72 = 8,193.60/x
  3. Step 3: Cross multiply
    9,753.12x = 14,626.72 × 8,193.60
  4. Step 4: Simplify right side
    9,753.12x = 119,845,492.99
  5. Step 5: Solve for x
    x = 119,845,492.99/9,753.12
  6. Step 6: Final answer
    x = 12,287.91

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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.