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Finding the Fourth Proportional to 9,283.34, 13,929.11 and 3,747.50

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Solution

The fourth proportional to 9,283.34, 13,929.11 and 3,747.50 is: 5,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.34 : 13,929.11 = 3,747.50 : x
  2. Step 2: Convert to fraction form
    9,283.34/13,929.11 = 3,747.50/x
  3. Step 3: Cross multiply
    9,283.34x = 13,929.11 × 3,747.50
  4. Step 4: Simplify right side
    9,283.34x = 52,199,338.71
  5. Step 5: Solve for x
    x = 52,199,338.71/9,283.34
  6. Step 6: Final answer
    x = 5,622.90

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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.