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Finding the Fourth Proportional to 6,537.24, 9,021.24 and 3,553

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Solution

The fourth proportional to 6,537.24, 9,021.24 and 3,553 is: 4,903.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.24 : 9,021.24 = 3,553 : x
  2. Step 2: Convert to fraction form
    6,537.24/9,021.24 = 3,553/x
  3. Step 3: Cross multiply
    6,537.24x = 9,021.24 × 3,553
  4. Step 4: Simplify right side
    6,537.24x = 32,052,465.72
  5. Step 5: Solve for x
    x = 32,052,465.72/6,537.24
  6. Step 6: Final answer
    x = 4,903.06

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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.