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Finding the Fourth Proportional to 10,271.80, 15,407.70 and 6,553.90

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Solution

The fourth proportional to 10,271.80, 15,407.70 and 6,553.90 is: 9,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.80 : 15,407.70 = 6,553.90 : x
  2. Step 2: Convert to fraction form
    10,271.80/15,407.70 = 6,553.90/x
  3. Step 3: Cross multiply
    10,271.80x = 15,407.70 × 6,553.90
  4. Step 4: Simplify right side
    10,271.80x = 100,980,525.03
  5. Step 5: Solve for x
    x = 100,980,525.03/10,271.80
  6. Step 6: Final answer
    x = 9,830.85

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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.