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Finding the Fourth Proportional to 7,237.58, 10,857.76 and 4,774.50

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Solution

The fourth proportional to 7,237.58, 10,857.76 and 4,774.50 is: 7,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.58 : 10,857.76 = 4,774.50 : x
  2. Step 2: Convert to fraction form
    7,237.58/10,857.76 = 4,774.50/x
  3. Step 3: Cross multiply
    7,237.58x = 10,857.76 × 4,774.50
  4. Step 4: Simplify right side
    7,237.58x = 51,840,375.12
  5. Step 5: Solve for x
    x = 51,840,375.12/7,237.58
  6. Step 6: Final answer
    x = 7,162.67

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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.