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Finding the Fourth Proportional to 11,503.34, 15,874.52 and 6,535.34

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Solution

The fourth proportional to 11,503.34, 15,874.52 and 6,535.34 is: 9,018.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.34 : 15,874.52 = 6,535.34 : x
  2. Step 2: Convert to fraction form
    11,503.34/15,874.52 = 6,535.34/x
  3. Step 3: Cross multiply
    11,503.34x = 15,874.52 × 6,535.34
  4. Step 4: Simplify right side
    11,503.34x = 103,745,385.54
  5. Step 5: Solve for x
    x = 103,745,385.54/11,503.34
  6. Step 6: Final answer
    x = 9,018.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.