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Finding the Fourth Proportional to 10,964.03, 15,130.16 and 6,714.42

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Solution

The fourth proportional to 10,964.03, 15,130.16 and 6,714.42 is: 9,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.03 : 15,130.16 = 6,714.42 : x
  2. Step 2: Convert to fraction form
    10,964.03/15,130.16 = 6,714.42/x
  3. Step 3: Cross multiply
    10,964.03x = 15,130.16 × 6,714.42
  4. Step 4: Simplify right side
    10,964.03x = 101,590,265.69
  5. Step 5: Solve for x
    x = 101,590,265.69/10,964.03
  6. Step 6: Final answer
    x = 9,265.78

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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.