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Finding the Fourth Proportional to 9,047.10, 13,607.10 and 8,099.40

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Solution

The fourth proportional to 9,047.10, 13,607.10 and 8,099.40 is: 12,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.10 : 13,607.10 = 8,099.40 : x
  2. Step 2: Convert to fraction form
    9,047.10/13,607.10 = 8,099.40/x
  3. Step 3: Cross multiply
    9,047.10x = 13,607.10 × 8,099.40
  4. Step 4: Simplify right side
    9,047.10x = 110,209,345.74
  5. Step 5: Solve for x
    x = 110,209,345.74/9,047.10
  6. Step 6: Final answer
    x = 12,181.73

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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.