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Finding the Fourth Proportional to 8,077.12, 12,094.07 and 4,742.62

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Solution

The fourth proportional to 8,077.12, 12,094.07 and 4,742.62 is: 7,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.12 : 12,094.07 = 4,742.62 : x
  2. Step 2: Convert to fraction form
    8,077.12/12,094.07 = 4,742.62/x
  3. Step 3: Cross multiply
    8,077.12x = 12,094.07 × 4,742.62
  4. Step 4: Simplify right side
    8,077.12x = 57,357,524.32
  5. Step 5: Solve for x
    x = 57,357,524.32/8,077.12
  6. Step 6: Final answer
    x = 7,101.24

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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.