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Finding the Fourth Proportional to 10,094.63, 13,921.73 and 7,068.20

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Solution

The fourth proportional to 10,094.63, 13,921.73 and 7,068.20 is: 9,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.63 : 13,921.73 = 7,068.20 : x
  2. Step 2: Convert to fraction form
    10,094.63/13,921.73 = 7,068.20/x
  3. Step 3: Cross multiply
    10,094.63x = 13,921.73 × 7,068.20
  4. Step 4: Simplify right side
    10,094.63x = 98,401,571.99
  5. Step 5: Solve for x
    x = 98,401,571.99/10,094.63
  6. Step 6: Final answer
    x = 9,747.91

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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.