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Finding the Fourth Proportional to 10,070.46, 15,004.49 and 9,504.56

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Solution

The fourth proportional to 10,070.46, 15,004.49 and 9,504.56 is: 14,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.46 : 15,004.49 = 9,504.56 : x
  2. Step 2: Convert to fraction form
    10,070.46/15,004.49 = 9,504.56/x
  3. Step 3: Cross multiply
    10,070.46x = 15,004.49 × 9,504.56
  4. Step 4: Simplify right side
    10,070.46x = 142,611,065.46
  5. Step 5: Solve for x
    x = 142,611,065.46/10,070.46
  6. Step 6: Final answer
    x = 14,161.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.