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Finding the Fourth Proportional to 6,271.52, 9,406.32 and 1,654.88

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Solution

The fourth proportional to 6,271.52, 9,406.32 and 1,654.88 is: 2,482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.52 : 9,406.32 = 1,654.88 : x
  2. Step 2: Convert to fraction form
    6,271.52/9,406.32 = 1,654.88/x
  3. Step 3: Cross multiply
    6,271.52x = 9,406.32 × 1,654.88
  4. Step 4: Simplify right side
    6,271.52x = 15,566,330.84
  5. Step 5: Solve for x
    x = 15,566,330.84/6,271.52
  6. Step 6: Final answer
    x = 2,482.07

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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.