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Finding the Fourth Proportional to 10,786.14, 14,875.04 and 6,800.34

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Solution

The fourth proportional to 10,786.14, 14,875.04 and 6,800.34 is: 9,378.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.14 : 14,875.04 = 6,800.34 : x
  2. Step 2: Convert to fraction form
    10,786.14/14,875.04 = 6,800.34/x
  3. Step 3: Cross multiply
    10,786.14x = 14,875.04 × 6,800.34
  4. Step 4: Simplify right side
    10,786.14x = 101,155,295.51
  5. Step 5: Solve for x
    x = 101,155,295.51/10,786.14
  6. Step 6: Final answer
    x = 9,378.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.