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Finding the Fourth Proportional to 13,965.92, 19,256.64 and 9,486.08

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Solution

The fourth proportional to 13,965.92, 19,256.64 and 9,486.08 is: 13,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.92 : 19,256.64 = 9,486.08 : x
  2. Step 2: Convert to fraction form
    13,965.92/19,256.64 = 9,486.08/x
  3. Step 3: Cross multiply
    13,965.92x = 19,256.64 × 9,486.08
  4. Step 4: Simplify right side
    13,965.92x = 182,670,027.57
  5. Step 5: Solve for x
    x = 182,670,027.57/13,965.92
  6. Step 6: Final answer
    x = 13,079.70

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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.