Home / 10,102.12-13,946.38-7,086.48

Finding the Fourth Proportional to 10,102.12, 13,946.38 and 7,086.48

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Solution

The fourth proportional to 10,102.12, 13,946.38 and 7,086.48 is: 9,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.12 : 13,946.38 = 7,086.48 : x
  2. Step 2: Convert to fraction form
    10,102.12/13,946.38 = 7,086.48/x
  3. Step 3: Cross multiply
    10,102.12x = 13,946.38 × 7,086.48
  4. Step 4: Simplify right side
    10,102.12x = 98,830,742.94
  5. Step 5: Solve for x
    x = 98,830,742.94/10,102.12
  6. Step 6: Final answer
    x = 9,783.17

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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.