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Finding the Fourth Proportional to 10,838.51, 14,956.65 and 6,366.09

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Solution

The fourth proportional to 10,838.51, 14,956.65 and 6,366.09 is: 8,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.51 : 14,956.65 = 6,366.09 : x
  2. Step 2: Convert to fraction form
    10,838.51/14,956.65 = 6,366.09/x
  3. Step 3: Cross multiply
    10,838.51x = 14,956.65 × 6,366.09
  4. Step 4: Simplify right side
    10,838.51x = 95,215,436.09
  5. Step 5: Solve for x
    x = 95,215,436.09/10,838.51
  6. Step 6: Final answer
    x = 8,784.92

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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.