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Finding the Fourth Proportional to 10,685.56, 14,746.38 and 5,970.14

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Solution

The fourth proportional to 10,685.56, 14,746.38 and 5,970.14 is: 8,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.56 : 14,746.38 = 5,970.14 : x
  2. Step 2: Convert to fraction form
    10,685.56/14,746.38 = 5,970.14/x
  3. Step 3: Cross multiply
    10,685.56x = 14,746.38 × 5,970.14
  4. Step 4: Simplify right side
    10,685.56x = 88,037,953.09
  5. Step 5: Solve for x
    x = 88,037,953.09/10,685.56
  6. Step 6: Final answer
    x = 8,238.96

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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.