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Finding the Fourth Proportional to 10,734.38, 14,810.42 and 6,957.71

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Solution

The fourth proportional to 10,734.38, 14,810.42 and 6,957.71 is: 9,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,734.38 : 14,810.42 = 6,957.71 : x
  2. Step 2: Convert to fraction form
    10,734.38/14,810.42 = 6,957.71/x
  3. Step 3: Cross multiply
    10,734.38x = 14,810.42 × 6,957.71
  4. Step 4: Simplify right side
    10,734.38x = 103,046,498.50
  5. Step 5: Solve for x
    x = 103,046,498.50/10,734.38
  6. Step 6: Final answer
    x = 9,599.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.