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Finding the Fourth Proportional to 10,257.84, 15,415.61 and 6,098.58

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Solution

The fourth proportional to 10,257.84, 15,415.61 and 6,098.58 is: 9,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.84 : 15,415.61 = 6,098.58 : x
  2. Step 2: Convert to fraction form
    10,257.84/15,415.61 = 6,098.58/x
  3. Step 3: Cross multiply
    10,257.84x = 15,415.61 × 6,098.58
  4. Step 4: Simplify right side
    10,257.84x = 94,013,300.34
  5. Step 5: Solve for x
    x = 94,013,300.34/10,257.84
  6. Step 6: Final answer
    x = 9,165.02

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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.