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Finding the Fourth Proportional to 10,553.94, 14,559.09 and 9,803.54

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Solution

The fourth proportional to 10,553.94, 14,559.09 and 9,803.54 is: 13,523.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.94 : 14,559.09 = 9,803.54 : x
  2. Step 2: Convert to fraction form
    10,553.94/14,559.09 = 9,803.54/x
  3. Step 3: Cross multiply
    10,553.94x = 14,559.09 × 9,803.54
  4. Step 4: Simplify right side
    10,553.94x = 142,730,621.18
  5. Step 5: Solve for x
    x = 142,730,621.18/10,553.94
  6. Step 6: Final answer
    x = 13,523.92

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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.