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Finding the Fourth Proportional to 10,970, 16,462.56 and 9,507.68

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Solution

The fourth proportional to 10,970, 16,462.56 and 9,507.68 is: 14,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970 : 16,462.56 = 9,507.68 : x
  2. Step 2: Convert to fraction form
    10,970/16,462.56 = 9,507.68/x
  3. Step 3: Cross multiply
    10,970x = 16,462.56 × 9,507.68
  4. Step 4: Simplify right side
    10,970x = 156,520,752.46
  5. Step 5: Solve for x
    x = 156,520,752.46/10,970
  6. Step 6: Final answer
    x = 14,268.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.