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Finding the Fourth Proportional to 6,953.56, 9,605.11 and 5,182.09

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Solution

The fourth proportional to 6,953.56, 9,605.11 and 5,182.09 is: 7,158.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.56 : 9,605.11 = 5,182.09 : x
  2. Step 2: Convert to fraction form
    6,953.56/9,605.11 = 5,182.09/x
  3. Step 3: Cross multiply
    6,953.56x = 9,605.11 × 5,182.09
  4. Step 4: Simplify right side
    6,953.56x = 49,774,496.45
  5. Step 5: Solve for x
    x = 49,774,496.45/6,953.56
  6. Step 6: Final answer
    x = 7,158.14

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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.