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Finding the Fourth Proportional to 8,359.56, 11,509.97 and 7,098.12

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Solution

The fourth proportional to 8,359.56, 11,509.97 and 7,098.12 is: 9,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.56 : 11,509.97 = 7,098.12 : x
  2. Step 2: Convert to fraction form
    8,359.56/11,509.97 = 7,098.12/x
  3. Step 3: Cross multiply
    8,359.56x = 11,509.97 × 7,098.12
  4. Step 4: Simplify right side
    8,359.56x = 81,699,112.77
  5. Step 5: Solve for x
    x = 81,699,112.77/8,359.56
  6. Step 6: Final answer
    x = 9,773.14

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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.