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Finding the Fourth Proportional to 15,642.76, 23,471.85 and 7,323.34

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Solution

The fourth proportional to 15,642.76, 23,471.85 and 7,323.34 is: 10,988.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.76 : 23,471.85 = 7,323.34 : x
  2. Step 2: Convert to fraction form
    15,642.76/23,471.85 = 7,323.34/x
  3. Step 3: Cross multiply
    15,642.76x = 23,471.85 × 7,323.34
  4. Step 4: Simplify right side
    15,642.76x = 171,892,337.98
  5. Step 5: Solve for x
    x = 171,892,337.98/15,642.76
  6. Step 6: Final answer
    x = 10,988.62

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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.