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Finding the Fourth Proportional to 10,710, 16,067.06 and 3,313.16

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Solution

The fourth proportional to 10,710, 16,067.06 and 3,313.16 is: 4,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710 : 16,067.06 = 3,313.16 : x
  2. Step 2: Convert to fraction form
    10,710/16,067.06 = 3,313.16/x
  3. Step 3: Cross multiply
    10,710x = 16,067.06 × 3,313.16
  4. Step 4: Simplify right side
    10,710x = 53,232,740.51
  5. Step 5: Solve for x
    x = 53,232,740.51/10,710
  6. Step 6: Final answer
    x = 4,970.38

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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.