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Finding the Fourth Proportional to 8,015.40, 12,023.10 and 6,071.40

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Solution

The fourth proportional to 8,015.40, 12,023.10 and 6,071.40 is: 9,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015.40 : 12,023.10 = 6,071.40 : x
  2. Step 2: Convert to fraction form
    8,015.40/12,023.10 = 6,071.40/x
  3. Step 3: Cross multiply
    8,015.40x = 12,023.10 × 6,071.40
  4. Step 4: Simplify right side
    8,015.40x = 72,997,049.34
  5. Step 5: Solve for x
    x = 72,997,049.34/8,015.40
  6. Step 6: Final answer
    x = 9,107.10

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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.