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Finding the Fourth Proportional to 9,794.83, 14,712.14 and 8,650.75

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Solution

The fourth proportional to 9,794.83, 14,712.14 and 8,650.75 is: 12,993.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.83 : 14,712.14 = 8,650.75 : x
  2. Step 2: Convert to fraction form
    9,794.83/14,712.14 = 8,650.75/x
  3. Step 3: Cross multiply
    9,794.83x = 14,712.14 × 8,650.75
  4. Step 4: Simplify right side
    9,794.83x = 127,271,045.11
  5. Step 5: Solve for x
    x = 127,271,045.11/9,794.83
  6. Step 6: Final answer
    x = 12,993.70

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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.