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Finding the Fourth Proportional to 12,827.52, 17,646.48 and 10,464.48

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Solution

The fourth proportional to 12,827.52, 17,646.48 and 10,464.48 is: 14,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827.52 : 17,646.48 = 10,464.48 : x
  2. Step 2: Convert to fraction form
    12,827.52/17,646.48 = 10,464.48/x
  3. Step 3: Cross multiply
    12,827.52x = 17,646.48 × 10,464.48
  4. Step 4: Simplify right side
    12,827.52x = 184,661,237.03
  5. Step 5: Solve for x
    x = 184,661,237.03/12,827.52
  6. Step 6: Final answer
    x = 14,395.71

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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.