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Finding the Fourth Proportional to 6,314.81, 9,472.23 and 2,848.01

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Solution

The fourth proportional to 6,314.81, 9,472.23 and 2,848.01 is: 4,272.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.81 : 9,472.23 = 2,848.01 : x
  2. Step 2: Convert to fraction form
    6,314.81/9,472.23 = 2,848.01/x
  3. Step 3: Cross multiply
    6,314.81x = 9,472.23 × 2,848.01
  4. Step 4: Simplify right side
    6,314.81x = 26,976,958.40
  5. Step 5: Solve for x
    x = 26,976,958.40/6,314.81
  6. Step 6: Final answer
    x = 4,272.02

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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.