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Finding the Fourth Proportional to 10,629.54, 15,893.67 and 9,700.05

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Solution

The fourth proportional to 10,629.54, 15,893.67 and 9,700.05 is: 14,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,629.54 : 15,893.67 = 9,700.05 : x
  2. Step 2: Convert to fraction form
    10,629.54/15,893.67 = 9,700.05/x
  3. Step 3: Cross multiply
    10,629.54x = 15,893.67 × 9,700.05
  4. Step 4: Simplify right side
    10,629.54x = 154,169,393.68
  5. Step 5: Solve for x
    x = 154,169,393.68/10,629.54
  6. Step 6: Final answer
    x = 14,503.86

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1.5x scale

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.