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Finding the Fourth Proportional to 5,647.93, 7,794.22 and 3,130.24

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Solution

The fourth proportional to 5,647.93, 7,794.22 and 3,130.24 is: 4,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.93 : 7,794.22 = 3,130.24 : x
  2. Step 2: Convert to fraction form
    5,647.93/7,794.22 = 3,130.24/x
  3. Step 3: Cross multiply
    5,647.93x = 7,794.22 × 3,130.24
  4. Step 4: Simplify right side
    5,647.93x = 24,397,779.21
  5. Step 5: Solve for x
    x = 24,397,779.21/5,647.93
  6. Step 6: Final answer
    x = 4,319.77

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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.