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Finding the Fourth Proportional to 3,130.56, 4,695.84 and 939.06

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Solution

The fourth proportional to 3,130.56, 4,695.84 and 939.06 is: 1,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.56 : 4,695.84 = 939.06 : x
  2. Step 2: Convert to fraction form
    3,130.56/4,695.84 = 939.06/x
  3. Step 3: Cross multiply
    3,130.56x = 4,695.84 × 939.06
  4. Step 4: Simplify right side
    3,130.56x = 4,409,675.51
  5. Step 5: Solve for x
    x = 4,409,675.51/3,130.56
  6. Step 6: Final answer
    x = 1,408.59

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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.