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Finding the Fourth Proportional to 7,709.49, 11,554.50 and 6,426.45

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Solution

The fourth proportional to 7,709.49, 11,554.50 and 6,426.45 is: 9,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.49 : 11,554.50 = 6,426.45 : x
  2. Step 2: Convert to fraction form
    7,709.49/11,554.50 = 6,426.45/x
  3. Step 3: Cross multiply
    7,709.49x = 11,554.50 × 6,426.45
  4. Step 4: Simplify right side
    7,709.49x = 74,254,416.53
  5. Step 5: Solve for x
    x = 74,254,416.53/7,709.49
  6. Step 6: Final answer
    x = 9,631.56

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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.