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Finding the Fourth Proportional to 7,710.06, 11,555.24 and 6,670.02

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Solution

The fourth proportional to 7,710.06, 11,555.24 and 6,670.02 is: 9,996.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.06 : 11,555.24 = 6,670.02 : x
  2. Step 2: Convert to fraction form
    7,710.06/11,555.24 = 6,670.02/x
  3. Step 3: Cross multiply
    7,710.06x = 11,555.24 × 6,670.02
  4. Step 4: Simplify right side
    7,710.06x = 77,073,648.55
  5. Step 5: Solve for x
    x = 77,073,648.55/7,710.06
  6. Step 6: Final answer
    x = 9,996.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.