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Finding the Fourth Proportional to 6,406.72, 9,610.02 and 2,024.20

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Solution

The fourth proportional to 6,406.72, 9,610.02 and 2,024.20 is: 3,036.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.72 : 9,610.02 = 2,024.20 : x
  2. Step 2: Convert to fraction form
    6,406.72/9,610.02 = 2,024.20/x
  3. Step 3: Cross multiply
    6,406.72x = 9,610.02 × 2,024.20
  4. Step 4: Simplify right side
    6,406.72x = 19,452,602.48
  5. Step 5: Solve for x
    x = 19,452,602.48/6,406.72
  6. Step 6: Final answer
    x = 3,036.28

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1.5x scale

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.