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Finding the Fourth Proportional to 5,748.12, 8,625.30 and 4,013.40

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Solution

The fourth proportional to 5,748.12, 8,625.30 and 4,013.40 is: 6,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.12 : 8,625.30 = 4,013.40 : x
  2. Step 2: Convert to fraction form
    5,748.12/8,625.30 = 4,013.40/x
  3. Step 3: Cross multiply
    5,748.12x = 8,625.30 × 4,013.40
  4. Step 4: Simplify right side
    5,748.12x = 34,616,779.02
  5. Step 5: Solve for x
    x = 34,616,779.02/5,748.12
  6. Step 6: Final answer
    x = 6,022.28

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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.