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Finding the Fourth Proportional to 10,851.96, 14,968.62 and 6,868.92

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Solution

The fourth proportional to 10,851.96, 14,968.62 and 6,868.92 is: 9,474.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.96 : 14,968.62 = 6,868.92 : x
  2. Step 2: Convert to fraction form
    10,851.96/14,968.62 = 6,868.92/x
  3. Step 3: Cross multiply
    10,851.96x = 14,968.62 × 6,868.92
  4. Step 4: Simplify right side
    10,851.96x = 102,818,253.29
  5. Step 5: Solve for x
    x = 102,818,253.29/10,851.96
  6. Step 6: Final answer
    x = 9,474.63

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1.5x scale

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.