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Finding the Fourth Proportional to 9,444.75, 13,033.76 and 5,253

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Solution

The fourth proportional to 9,444.75, 13,033.76 and 5,253 is: 7,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.75 : 13,033.76 = 5,253 : x
  2. Step 2: Convert to fraction form
    9,444.75/13,033.76 = 5,253/x
  3. Step 3: Cross multiply
    9,444.75x = 13,033.76 × 5,253
  4. Step 4: Simplify right side
    9,444.75x = 68,466,315.02
  5. Step 5: Solve for x
    x = 68,466,315.02/9,444.75
  6. Step 6: Final answer
    x = 7,249.14

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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.