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Finding the Fourth Proportional to 10,340.16, 15,503.76 and 6,826.44

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Solution

The fourth proportional to 10,340.16, 15,503.76 and 6,826.44 is: 10,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.16 : 15,503.76 = 6,826.44 : x
  2. Step 2: Convert to fraction form
    10,340.16/15,503.76 = 6,826.44/x
  3. Step 3: Cross multiply
    10,340.16x = 15,503.76 × 6,826.44
  4. Step 4: Simplify right side
    10,340.16x = 105,835,487.41
  5. Step 5: Solve for x
    x = 105,835,487.41/10,340.16
  6. Step 6: Final answer
    x = 10,235.38

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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.