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Finding the Fourth Proportional to 9,683, 13,362.54 and 5,491.25

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Solution

The fourth proportional to 9,683, 13,362.54 and 5,491.25 is: 7,577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683 : 13,362.54 = 5,491.25 : x
  2. Step 2: Convert to fraction form
    9,683/13,362.54 = 5,491.25/x
  3. Step 3: Cross multiply
    9,683x = 13,362.54 × 5,491.25
  4. Step 4: Simplify right side
    9,683x = 73,377,047.78
  5. Step 5: Solve for x
    x = 73,377,047.78/9,683
  6. Step 6: Final answer
    x = 7,577.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.