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Finding the Fourth Proportional to 6,560.06, 9,820.59 and 6,551.42

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Solution

The fourth proportional to 6,560.06, 9,820.59 and 6,551.42 is: 9,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.06 : 9,820.59 = 6,551.42 : x
  2. Step 2: Convert to fraction form
    6,560.06/9,820.59 = 6,551.42/x
  3. Step 3: Cross multiply
    6,560.06x = 9,820.59 × 6,551.42
  4. Step 4: Simplify right side
    6,560.06x = 64,338,809.74
  5. Step 5: Solve for x
    x = 64,338,809.74/6,560.06
  6. Step 6: Final answer
    x = 9,807.66

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