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Finding the Fourth Proportional to 6,705.53, 10,098.46 and 6,106.99

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Solution

The fourth proportional to 6,705.53, 10,098.46 and 6,106.99 is: 9,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.53 : 10,098.46 = 6,106.99 : x
  2. Step 2: Convert to fraction form
    6,705.53/10,098.46 = 6,106.99/x
  3. Step 3: Cross multiply
    6,705.53x = 10,098.46 × 6,106.99
  4. Step 4: Simplify right side
    6,705.53x = 61,671,113.21
  5. Step 5: Solve for x
    x = 61,671,113.21/6,705.53
  6. Step 6: Final answer
    x = 9,197.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.