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Finding the Fourth Proportional to 4,314.98, 6,472.28 and 1,973.64

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Solution

The fourth proportional to 4,314.98, 6,472.28 and 1,973.64 is: 2,960.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.98 : 6,472.28 = 1,973.64 : x
  2. Step 2: Convert to fraction form
    4,314.98/6,472.28 = 1,973.64/x
  3. Step 3: Cross multiply
    4,314.98x = 6,472.28 × 1,973.64
  4. Step 4: Simplify right side
    4,314.98x = 12,773,950.70
  5. Step 5: Solve for x
    x = 12,773,950.70/4,314.98
  6. Step 6: Final answer
    x = 2,960.37

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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.