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Finding the Fourth Proportional to 9,683.10, 13,362.84 and 5,435.10

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Solution

The fourth proportional to 9,683.10, 13,362.84 and 5,435.10 is: 7,500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.10 : 13,362.84 = 5,435.10 : x
  2. Step 2: Convert to fraction form
    9,683.10/13,362.84 = 5,435.10/x
  3. Step 3: Cross multiply
    9,683.10x = 13,362.84 × 5,435.10
  4. Step 4: Simplify right side
    9,683.10x = 72,628,371.68
  5. Step 5: Solve for x
    x = 72,628,371.68/9,683.10
  6. Step 6: Final answer
    x = 7,500.53

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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.