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Finding the Fourth Proportional to 6,506.52, 9,762.88 and 6,232.30

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Solution

The fourth proportional to 6,506.52, 9,762.88 and 6,232.30 is: 9,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.52 : 9,762.88 = 6,232.30 : x
  2. Step 2: Convert to fraction form
    6,506.52/9,762.88 = 6,232.30/x
  3. Step 3: Cross multiply
    6,506.52x = 9,762.88 × 6,232.30
  4. Step 4: Simplify right side
    6,506.52x = 60,845,197.02
  5. Step 5: Solve for x
    x = 60,845,197.02/6,506.52
  6. Step 6: Final answer
    x = 9,351.42

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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.