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Finding the Fourth Proportional to 9,709.96, 14,564.94 and 4,513

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Solution

The fourth proportional to 9,709.96, 14,564.94 and 4,513 is: 6,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.96 : 14,564.94 = 4,513 : x
  2. Step 2: Convert to fraction form
    9,709.96/14,564.94 = 4,513/x
  3. Step 3: Cross multiply
    9,709.96x = 14,564.94 × 4,513
  4. Step 4: Simplify right side
    9,709.96x = 65,731,574.22
  5. Step 5: Solve for x
    x = 65,731,574.22/9,709.96
  6. Step 6: Final answer
    x = 6,769.50

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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.