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Finding the Fourth Proportional to 10,461.69, 15,653.19 and 6,229.41

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Solution

The fourth proportional to 10,461.69, 15,653.19 and 6,229.41 is: 9,320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.69 : 15,653.19 = 6,229.41 : x
  2. Step 2: Convert to fraction form
    10,461.69/15,653.19 = 6,229.41/x
  3. Step 3: Cross multiply
    10,461.69x = 15,653.19 × 6,229.41
  4. Step 4: Simplify right side
    10,461.69x = 97,510,138.32
  5. Step 5: Solve for x
    x = 97,510,138.32/10,461.69
  6. Step 6: Final answer
    x = 9,320.69

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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.