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Finding the Fourth Proportional to 6,321.40, 9,465.90 and 6,029.80

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Solution

The fourth proportional to 6,321.40, 9,465.90 and 6,029.80 is: 9,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.40 : 9,465.90 = 6,029.80 : x
  2. Step 2: Convert to fraction form
    6,321.40/9,465.90 = 6,029.80/x
  3. Step 3: Cross multiply
    6,321.40x = 9,465.90 × 6,029.80
  4. Step 4: Simplify right side
    6,321.40x = 57,077,483.82
  5. Step 5: Solve for x
    x = 57,077,483.82/6,321.40
  6. Step 6: Final answer
    x = 9,029.25

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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.