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Finding the Fourth Proportional to 11,570.10, 15,958.62 and 7,095.64

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Solution

The fourth proportional to 11,570.10, 15,958.62 and 7,095.64 is: 9,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.10 : 15,958.62 = 7,095.64 : x
  2. Step 2: Convert to fraction form
    11,570.10/15,958.62 = 7,095.64/x
  3. Step 3: Cross multiply
    11,570.10x = 15,958.62 × 7,095.64
  4. Step 4: Simplify right side
    11,570.10x = 113,236,507.15
  5. Step 5: Solve for x
    x = 113,236,507.15/11,570.10
  6. Step 6: Final answer
    x = 9,786.99

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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.