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Finding the Fourth Proportional to 7,892.40, 10,892.70 and 4,749.24

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Solution

The fourth proportional to 7,892.40, 10,892.70 and 4,749.24 is: 6,554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.40 : 10,892.70 = 4,749.24 : x
  2. Step 2: Convert to fraction form
    7,892.40/10,892.70 = 4,749.24/x
  3. Step 3: Cross multiply
    7,892.40x = 10,892.70 × 4,749.24
  4. Step 4: Simplify right side
    7,892.40x = 51,732,046.55
  5. Step 5: Solve for x
    x = 51,732,046.55/7,892.40
  6. Step 6: Final answer
    x = 6,554.67

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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.