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Finding the Fourth Proportional to 4,651.47, 6,419.14 and 2,527.00

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Solution

The fourth proportional to 4,651.47, 6,419.14 and 2,527.00 is: 3,487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.47 : 6,419.14 = 2,527.00 : x
  2. Step 2: Convert to fraction form
    4,651.47/6,419.14 = 2,527.00/x
  3. Step 3: Cross multiply
    4,651.47x = 6,419.14 × 2,527.00
  4. Step 4: Simplify right side
    4,651.47x = 16,221,122.05
  5. Step 5: Solve for x
    x = 16,221,122.05/4,651.47
  6. Step 6: Final answer
    x = 3,487.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.