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Finding the Fourth Proportional to 8,312.64, 12,452.94 and 6,548.31

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Solution

The fourth proportional to 8,312.64, 12,452.94 and 6,548.31 is: 9,809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.64 : 12,452.94 = 6,548.31 : x
  2. Step 2: Convert to fraction form
    8,312.64/12,452.94 = 6,548.31/x
  3. Step 3: Cross multiply
    8,312.64x = 12,452.94 × 6,548.31
  4. Step 4: Simplify right side
    8,312.64x = 81,545,711.53
  5. Step 5: Solve for x
    x = 81,545,711.53/8,312.64
  6. Step 6: Final answer
    x = 9,809.85

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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.