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Finding the Fourth Proportional to 12,242.63, 16,894.77 and 6,653.63

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Solution

The fourth proportional to 12,242.63, 16,894.77 and 6,653.63 is: 9,181.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242.63 : 16,894.77 = 6,653.63 : x
  2. Step 2: Convert to fraction form
    12,242.63/16,894.77 = 6,653.63/x
  3. Step 3: Cross multiply
    12,242.63x = 16,894.77 × 6,653.63
  4. Step 4: Simplify right side
    12,242.63x = 112,411,548.52
  5. Step 5: Solve for x
    x = 112,411,548.52/12,242.63
  6. Step 6: Final answer
    x = 9,181.98

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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.