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Finding the Fourth Proportional to 10,842.66, 14,963.04 and 6,366.51

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Solution

The fourth proportional to 10,842.66, 14,963.04 and 6,366.51 is: 8,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842.66 : 14,963.04 = 6,366.51 : x
  2. Step 2: Convert to fraction form
    10,842.66/14,963.04 = 6,366.51/x
  3. Step 3: Cross multiply
    10,842.66x = 14,963.04 × 6,366.51
  4. Step 4: Simplify right side
    10,842.66x = 95,262,343.79
  5. Step 5: Solve for x
    x = 95,262,343.79/10,842.66
  6. Step 6: Final answer
    x = 8,785.88

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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.