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Finding the Fourth Proportional to 8,135.40, 12,203.10 and 7,036.50

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Solution

The fourth proportional to 8,135.40, 12,203.10 and 7,036.50 is: 10,554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.40 : 12,203.10 = 7,036.50 : x
  2. Step 2: Convert to fraction form
    8,135.40/12,203.10 = 7,036.50/x
  3. Step 3: Cross multiply
    8,135.40x = 12,203.10 × 7,036.50
  4. Step 4: Simplify right side
    8,135.40x = 85,867,113.15
  5. Step 5: Solve for x
    x = 85,867,113.15/8,135.40
  6. Step 6: Final answer
    x = 10,554.75

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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.