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Finding the Fourth Proportional to 10,308.67, 15,458.14 and 6,147.60

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Solution

The fourth proportional to 10,308.67, 15,458.14 and 6,147.60 is: 9,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.67 : 15,458.14 = 6,147.60 : x
  2. Step 2: Convert to fraction form
    10,308.67/15,458.14 = 6,147.60/x
  3. Step 3: Cross multiply
    10,308.67x = 15,458.14 × 6,147.60
  4. Step 4: Simplify right side
    10,308.67x = 95,030,411.18
  5. Step 5: Solve for x
    x = 95,030,411.18/10,308.67
  6. Step 6: Final answer
    x = 9,218.50

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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.