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Finding the Fourth Proportional to 10,374.34, 15,530.31 and 9,486.82

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Solution

The fourth proportional to 10,374.34, 15,530.31 and 9,486.82 is: 14,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.34 : 15,530.31 = 9,486.82 : x
  2. Step 2: Convert to fraction form
    10,374.34/15,530.31 = 9,486.82/x
  3. Step 3: Cross multiply
    10,374.34x = 15,530.31 × 9,486.82
  4. Step 4: Simplify right side
    10,374.34x = 147,333,255.51
  5. Step 5: Solve for x
    x = 147,333,255.51/10,374.34
  6. Step 6: Final answer
    x = 14,201.70

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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.