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Finding the Fourth Proportional to 8,271.52, 12,407.93 and 2,348.31

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Solution

The fourth proportional to 8,271.52, 12,407.93 and 2,348.31 is: 3,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.52 : 12,407.93 = 2,348.31 : x
  2. Step 2: Convert to fraction form
    8,271.52/12,407.93 = 2,348.31/x
  3. Step 3: Cross multiply
    8,271.52x = 12,407.93 × 2,348.31
  4. Step 4: Simplify right side
    8,271.52x = 29,137,654.36
  5. Step 5: Solve for x
    x = 29,137,654.36/8,271.52
  6. Step 6: Final answer
    x = 3,522.65

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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.