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Finding the Fourth Proportional to 10,047.94, 15,070.17 and 2,652.46

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Solution

The fourth proportional to 10,047.94, 15,070.17 and 2,652.46 is: 3,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.94 : 15,070.17 = 2,652.46 : x
  2. Step 2: Convert to fraction form
    10,047.94/15,070.17 = 2,652.46/x
  3. Step 3: Cross multiply
    10,047.94x = 15,070.17 × 2,652.46
  4. Step 4: Simplify right side
    10,047.94x = 39,973,023.12
  5. Step 5: Solve for x
    x = 39,973,023.12/10,047.94
  6. Step 6: Final answer
    x = 3,978.23

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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.