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Finding the Fourth Proportional to 6,509.48, 8,983 and 3,858.14

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Solution

The fourth proportional to 6,509.48, 8,983 and 3,858.14 is: 5,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.48 : 8,983 = 3,858.14 : x
  2. Step 2: Convert to fraction form
    6,509.48/8,983 = 3,858.14/x
  3. Step 3: Cross multiply
    6,509.48x = 8,983 × 3,858.14
  4. Step 4: Simplify right side
    6,509.48x = 34,657,671.62
  5. Step 5: Solve for x
    x = 34,657,671.62/6,509.48
  6. Step 6: Final answer
    x = 5,324.18

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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.