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Finding the Fourth Proportional to 13,903.94, 20,803.59 and 9,752.05

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Solution

The fourth proportional to 13,903.94, 20,803.59 and 9,752.05 is: 14,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,903.94 : 20,803.59 = 9,752.05 : x
  2. Step 2: Convert to fraction form
    13,903.94/20,803.59 = 9,752.05/x
  3. Step 3: Cross multiply
    13,903.94x = 20,803.59 × 9,752.05
  4. Step 4: Simplify right side
    13,903.94x = 202,877,649.86
  5. Step 5: Solve for x
    x = 202,877,649.86/13,903.94
  6. Step 6: Final answer
    x = 14,591.38

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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.