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Finding the Fourth Proportional to 7,586.92, 10,470.90 and 5,102.92

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Solution

The fourth proportional to 7,586.92, 10,470.90 and 5,102.92 is: 7,042.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.92 : 10,470.90 = 5,102.92 : x
  2. Step 2: Convert to fraction form
    7,586.92/10,470.90 = 5,102.92/x
  3. Step 3: Cross multiply
    7,586.92x = 10,470.90 × 5,102.92
  4. Step 4: Simplify right side
    7,586.92x = 53,432,165.03
  5. Step 5: Solve for x
    x = 53,432,165.03/7,586.92
  6. Step 6: Final answer
    x = 7,042.67

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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.