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Finding the Fourth Proportional to 10,943.30, 16,414.95 and 4,706.30

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Solution

The fourth proportional to 10,943.30, 16,414.95 and 4,706.30 is: 7,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,943.30 : 16,414.95 = 4,706.30 : x
  2. Step 2: Convert to fraction form
    10,943.30/16,414.95 = 4,706.30/x
  3. Step 3: Cross multiply
    10,943.30x = 16,414.95 × 4,706.30
  4. Step 4: Simplify right side
    10,943.30x = 77,253,679.19
  5. Step 5: Solve for x
    x = 77,253,679.19/10,943.30
  6. Step 6: Final answer
    x = 7,059.45

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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.