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Finding the Fourth Proportional to 12,271.92, 16,937.04 and 6,965.64

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Solution

The fourth proportional to 12,271.92, 16,937.04 and 6,965.64 is: 9,613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.92 : 16,937.04 = 6,965.64 : x
  2. Step 2: Convert to fraction form
    12,271.92/16,937.04 = 6,965.64/x
  3. Step 3: Cross multiply
    12,271.92x = 16,937.04 × 6,965.64
  4. Step 4: Simplify right side
    12,271.92x = 117,977,323.31
  5. Step 5: Solve for x
    x = 117,977,323.31/12,271.92
  6. Step 6: Final answer
    x = 9,613.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.