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Finding the Fourth Proportional to 9,894.72, 13,656.96 and 6,168

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Solution

The fourth proportional to 9,894.72, 13,656.96 and 6,168 is: 8,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.72 : 13,656.96 = 6,168 : x
  2. Step 2: Convert to fraction form
    9,894.72/13,656.96 = 6,168/x
  3. Step 3: Cross multiply
    9,894.72x = 13,656.96 × 6,168
  4. Step 4: Simplify right side
    9,894.72x = 84,236,129.28
  5. Step 5: Solve for x
    x = 84,236,129.28/9,894.72
  6. Step 6: Final answer
    x = 8,513.24

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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.