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Finding the Fourth Proportional to 10,829.97, 14,951.32 and 6,800.99

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Solution

The fourth proportional to 10,829.97, 14,951.32 and 6,800.99 is: 9,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.97 : 14,951.32 = 6,800.99 : x
  2. Step 2: Convert to fraction form
    10,829.97/14,951.32 = 6,800.99/x
  3. Step 3: Cross multiply
    10,829.97x = 14,951.32 × 6,800.99
  4. Step 4: Simplify right side
    10,829.97x = 101,683,686.05
  5. Step 5: Solve for x
    x = 101,683,686.05/10,829.97
  6. Step 6: Final answer
    x = 9,389.10

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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.