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Finding the Fourth Proportional to 7,958.34, 10,971.10 and 5,593.14

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Solution

The fourth proportional to 7,958.34, 10,971.10 and 5,593.14 is: 7,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.34 : 10,971.10 = 5,593.14 : x
  2. Step 2: Convert to fraction form
    7,958.34/10,971.10 = 5,593.14/x
  3. Step 3: Cross multiply
    7,958.34x = 10,971.10 × 5,593.14
  4. Step 4: Simplify right side
    7,958.34x = 61,362,829.42
  5. Step 5: Solve for x
    x = 61,362,829.42/7,958.34
  6. Step 6: Final answer
    x = 7,710.51

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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.