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Finding the Fourth Proportional to 6,323.40, 9,468.90 and 6,031.80

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Solution

The fourth proportional to 6,323.40, 9,468.90 and 6,031.80 is: 9,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.40 : 9,468.90 = 6,031.80 : x
  2. Step 2: Convert to fraction form
    6,323.40/9,468.90 = 6,031.80/x
  3. Step 3: Cross multiply
    6,323.40x = 9,468.90 × 6,031.80
  4. Step 4: Simplify right side
    6,323.40x = 57,114,511.02
  5. Step 5: Solve for x
    x = 57,114,511.02/6,323.40
  6. Step 6: Final answer
    x = 9,032.25

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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.