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Finding the Fourth Proportional to 11,534.14, 15,918.36 and 7,060.90

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Solution

The fourth proportional to 11,534.14, 15,918.36 and 7,060.90 is: 9,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.14 : 15,918.36 = 7,060.90 : x
  2. Step 2: Convert to fraction form
    11,534.14/15,918.36 = 7,060.90/x
  3. Step 3: Cross multiply
    11,534.14x = 15,918.36 × 7,060.90
  4. Step 4: Simplify right side
    11,534.14x = 112,397,948.12
  5. Step 5: Solve for x
    x = 112,397,948.12/11,534.14
  6. Step 6: Final answer
    x = 9,744.81

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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.