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Finding the Fourth Proportional to 4,271.37, 6,407.37 and 1,497.06

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Solution

The fourth proportional to 4,271.37, 6,407.37 and 1,497.06 is: 2,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.37 : 6,407.37 = 1,497.06 : x
  2. Step 2: Convert to fraction form
    4,271.37/6,407.37 = 1,497.06/x
  3. Step 3: Cross multiply
    4,271.37x = 6,407.37 × 1,497.06
  4. Step 4: Simplify right side
    4,271.37x = 9,592,217.33
  5. Step 5: Solve for x
    x = 9,592,217.33/4,271.37
  6. Step 6: Final answer
    x = 2,245.70

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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.