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Finding the Fourth Proportional to 9,710.62, 14,564.31 and 2,783.50

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Solution

The fourth proportional to 9,710.62, 14,564.31 and 2,783.50 is: 4,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.62 : 14,564.31 = 2,783.50 : x
  2. Step 2: Convert to fraction form
    9,710.62/14,564.31 = 2,783.50/x
  3. Step 3: Cross multiply
    9,710.62x = 14,564.31 × 2,783.50
  4. Step 4: Simplify right side
    9,710.62x = 40,539,756.89
  5. Step 5: Solve for x
    x = 40,539,756.89/9,710.62
  6. Step 6: Final answer
    x = 4,174.79

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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.