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Finding the Fourth Proportional to 9,572.50, 14,358.76 and 2,647

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Solution

The fourth proportional to 9,572.50, 14,358.76 and 2,647 is: 3,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.50 : 14,358.76 = 2,647 : x
  2. Step 2: Convert to fraction form
    9,572.50/14,358.76 = 2,647/x
  3. Step 3: Cross multiply
    9,572.50x = 14,358.76 × 2,647
  4. Step 4: Simplify right side
    9,572.50x = 38,007,637.72
  5. Step 5: Solve for x
    x = 38,007,637.72/9,572.50
  6. Step 6: Final answer
    x = 3,970.50

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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.