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Finding the Fourth Proportional to 5,643.96, 7,788.70 and 3,126.12

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Solution

The fourth proportional to 5,643.96, 7,788.70 and 3,126.12 is: 4,314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.96 : 7,788.70 = 3,126.12 : x
  2. Step 2: Convert to fraction form
    5,643.96/7,788.70 = 3,126.12/x
  3. Step 3: Cross multiply
    5,643.96x = 7,788.70 × 3,126.12
  4. Step 4: Simplify right side
    5,643.96x = 24,348,410.84
  5. Step 5: Solve for x
    x = 24,348,410.84/5,643.96
  6. Step 6: Final answer
    x = 4,314.07

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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.