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Finding the Fourth Proportional to 10,392, 15,593.64 and 6,018

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Solution

The fourth proportional to 10,392, 15,593.64 and 6,018 is: 9,030.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392 : 15,593.64 = 6,018 : x
  2. Step 2: Convert to fraction form
    10,392/15,593.64 = 6,018/x
  3. Step 3: Cross multiply
    10,392x = 15,593.64 × 6,018
  4. Step 4: Simplify right side
    10,392x = 93,842,525.52
  5. Step 5: Solve for x
    x = 93,842,525.52/10,392
  6. Step 6: Final answer
    x = 9,030.27

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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.