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Finding the Fourth Proportional to 5,648.64, 7,795 and 3,130.74

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Solution

The fourth proportional to 5,648.64, 7,795 and 3,130.74 is: 4,320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.64 : 7,795 = 3,130.74 : x
  2. Step 2: Convert to fraction form
    5,648.64/7,795 = 3,130.74/x
  3. Step 3: Cross multiply
    5,648.64x = 7,795 × 3,130.74
  4. Step 4: Simplify right side
    5,648.64x = 24,404,118.30
  5. Step 5: Solve for x
    x = 24,404,118.30/5,648.64
  6. Step 6: Final answer
    x = 4,320.35

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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.