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Finding the Fourth Proportional to 4,666.25, 7,000.43 and 1,546.25

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Solution

The fourth proportional to 4,666.25, 7,000.43 and 1,546.25 is: 2,319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.25 : 7,000.43 = 1,546.25 : x
  2. Step 2: Convert to fraction form
    4,666.25/7,000.43 = 1,546.25/x
  3. Step 3: Cross multiply
    4,666.25x = 7,000.43 × 1,546.25
  4. Step 4: Simplify right side
    4,666.25x = 10,824,372.15
  5. Step 5: Solve for x
    x = 10,824,372.15/4,666.25
  6. Step 6: Final answer
    x = 2,319.72

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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.