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Finding the Fourth Proportional to 9,293.48, 12,830.82 and 6,463.88

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Solution

The fourth proportional to 9,293.48, 12,830.82 and 6,463.88 is: 8,924.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.48 : 12,830.82 = 6,463.88 : x
  2. Step 2: Convert to fraction form
    9,293.48/12,830.82 = 6,463.88/x
  3. Step 3: Cross multiply
    9,293.48x = 12,830.82 × 6,463.88
  4. Step 4: Simplify right side
    9,293.48x = 82,936,880.78
  5. Step 5: Solve for x
    x = 82,936,880.78/9,293.48
  6. Step 6: Final answer
    x = 8,924.20

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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.