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Finding the Fourth Proportional to 15,573.76, 23,363.28 and 6,808.48

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Solution

The fourth proportional to 15,573.76, 23,363.28 and 6,808.48 is: 10,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,573.76 : 23,363.28 = 6,808.48 : x
  2. Step 2: Convert to fraction form
    15,573.76/23,363.28 = 6,808.48/x
  3. Step 3: Cross multiply
    15,573.76x = 23,363.28 × 6,808.48
  4. Step 4: Simplify right side
    15,573.76x = 159,068,424.61
  5. Step 5: Solve for x
    x = 159,068,424.61/15,573.76
  6. Step 6: Final answer
    x = 10,213.87

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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.