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Finding the Fourth Proportional to 6,051.70, 9,077.55 and 3,454.90

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Solution

The fourth proportional to 6,051.70, 9,077.55 and 3,454.90 is: 5,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051.70 : 9,077.55 = 3,454.90 : x
  2. Step 2: Convert to fraction form
    6,051.70/9,077.55 = 3,454.90/x
  3. Step 3: Cross multiply
    6,051.70x = 9,077.55 × 3,454.90
  4. Step 4: Simplify right side
    6,051.70x = 31,362,027.50
  5. Step 5: Solve for x
    x = 31,362,027.50/6,051.70
  6. Step 6: Final answer
    x = 5,182.35

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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.