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Finding the Fourth Proportional to 10,203.84, 15,320.34 and 5,826.60

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Solution

The fourth proportional to 10,203.84, 15,320.34 and 5,826.60 is: 8,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.84 : 15,320.34 = 5,826.60 : x
  2. Step 2: Convert to fraction form
    10,203.84/15,320.34 = 5,826.60/x
  3. Step 3: Cross multiply
    10,203.84x = 15,320.34 × 5,826.60
  4. Step 4: Simplify right side
    10,203.84x = 89,265,493.04
  5. Step 5: Solve for x
    x = 89,265,493.04/10,203.84
  6. Step 6: Final answer
    x = 8,748.23

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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.