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Finding the Fourth Proportional to 12,658.16, 17,468.33 and 6,992.84

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Solution

The fourth proportional to 12,658.16, 17,468.33 and 6,992.84 is: 9,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.16 : 17,468.33 = 6,992.84 : x
  2. Step 2: Convert to fraction form
    12,658.16/17,468.33 = 6,992.84/x
  3. Step 3: Cross multiply
    12,658.16x = 17,468.33 × 6,992.84
  4. Step 4: Simplify right side
    12,658.16x = 122,153,114.45
  5. Step 5: Solve for x
    x = 122,153,114.45/12,658.16
  6. Step 6: Final answer
    x = 9,650.15

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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.