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Finding the Fourth Proportional to 9,153.94, 13,733.65 and 4,774.48

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Solution

The fourth proportional to 9,153.94, 13,733.65 and 4,774.48 is: 7,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.94 : 13,733.65 = 4,774.48 : x
  2. Step 2: Convert to fraction form
    9,153.94/13,733.65 = 4,774.48/x
  3. Step 3: Cross multiply
    9,153.94x = 13,733.65 × 4,774.48
  4. Step 4: Simplify right side
    9,153.94x = 65,571,037.25
  5. Step 5: Solve for x
    x = 65,571,037.25/9,153.94
  6. Step 6: Final answer
    x = 7,163.15

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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.