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Finding the Fourth Proportional to 9,145.85, 13,718.84 and 3,302.44

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Solution

The fourth proportional to 9,145.85, 13,718.84 and 3,302.44 is: 4,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.85 : 13,718.84 = 3,302.44 : x
  2. Step 2: Convert to fraction form
    9,145.85/13,718.84 = 3,302.44/x
  3. Step 3: Cross multiply
    9,145.85x = 13,718.84 × 3,302.44
  4. Step 4: Simplify right side
    9,145.85x = 45,305,595.16
  5. Step 5: Solve for x
    x = 45,305,595.16/9,145.85
  6. Step 6: Final answer
    x = 4,953.68

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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.