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Finding the Fourth Proportional to 10,484.50, 15,706.93 and 6,197.43

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Solution

The fourth proportional to 10,484.50, 15,706.93 and 6,197.43 is: 9,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.50 : 15,706.93 = 6,197.43 : x
  2. Step 2: Convert to fraction form
    10,484.50/15,706.93 = 6,197.43/x
  3. Step 3: Cross multiply
    10,484.50x = 15,706.93 × 6,197.43
  4. Step 4: Simplify right side
    10,484.50x = 97,342,599.19
  5. Step 5: Solve for x
    x = 97,342,599.19/10,484.50
  6. Step 6: Final answer
    x = 9,284.43

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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.